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Finding the Fourth Proportional to 514,401.60, 771,602.40 and 140,424.60

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Solution

The fourth proportional to 514,401.60, 771,602.40 and 140,424.60 is: 210,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,401.60 : 771,602.40 = 140,424.60 : x
  2. Step 2: Convert to fraction form
    514,401.60/771,602.40 = 140,424.60/x
  3. Step 3: Cross multiply
    514,401.60x = 771,602.40 × 140,424.60
  4. Step 4: Simplify right side
    514,401.60x = 108,351,958,379.04
  5. Step 5: Solve for x
    x = 108,351,958,379.04/514,401.60
  6. Step 6: Final answer
    x = 210,636.90

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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.