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Finding the Fourth Proportional to 521,609.40, 781,101.90 and 343,150.20

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Solution

The fourth proportional to 521,609.40, 781,101.90 and 343,150.20 is: 513,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,609.40 : 781,101.90 = 343,150.20 : x
  2. Step 2: Convert to fraction form
    521,609.40/781,101.90 = 343,150.20/x
  3. Step 3: Cross multiply
    521,609.40x = 781,101.90 × 343,150.20
  4. Step 4: Simplify right side
    521,609.40x = 268,035,273,205.38
  5. Step 5: Solve for x
    x = 268,035,273,205.38/521,609.40
  6. Step 6: Final answer
    x = 513,862.05

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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.