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Finding the Fourth Proportional to 463,491.40, 695,237.10 and 147,980.20

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Solution

The fourth proportional to 463,491.40, 695,237.10 and 147,980.20 is: 221,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,491.40 : 695,237.10 = 147,980.20 : x
  2. Step 2: Convert to fraction form
    463,491.40/695,237.10 = 147,980.20/x
  3. Step 3: Cross multiply
    463,491.40x = 695,237.10 × 147,980.20
  4. Step 4: Simplify right side
    463,491.40x = 102,881,325,105.42
  5. Step 5: Solve for x
    x = 102,881,325,105.42/463,491.40
  6. Step 6: Final answer
    x = 221,970.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.