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Finding the Fourth Proportional to 410,082.90, 615,124.35 and 385,151.10

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Solution

The fourth proportional to 410,082.90, 615,124.35 and 385,151.10 is: 577,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,082.90 : 615,124.35 = 385,151.10 : x
  2. Step 2: Convert to fraction form
    410,082.90/615,124.35 = 385,151.10/x
  3. Step 3: Cross multiply
    410,082.90x = 615,124.35 × 385,151.10
  4. Step 4: Simplify right side
    410,082.90x = 236,915,820,039.29
  5. Step 5: Solve for x
    x = 236,915,820,039.29/410,082.90
  6. Step 6: Final answer
    x = 577,726.65

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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.