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Finding the Fourth Proportional to 508,713.10, 763,069.65 and 309,424.30

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Solution

The fourth proportional to 508,713.10, 763,069.65 and 309,424.30 is: 464,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,713.10 : 763,069.65 = 309,424.30 : x
  2. Step 2: Convert to fraction form
    508,713.10/763,069.65 = 309,424.30/x
  3. Step 3: Cross multiply
    508,713.10x = 763,069.65 × 309,424.30
  4. Step 4: Simplify right side
    508,713.10x = 236,112,292,302.50
  5. Step 5: Solve for x
    x = 236,112,292,302.50/508,713.10
  6. Step 6: Final answer
    x = 464,136.45

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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.