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Finding the Fourth Proportional to 521,920.28, 781,898.28 and 409,258.40

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Solution

The fourth proportional to 521,920.28, 781,898.28 and 409,258.40 is: 613,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,920.28 : 781,898.28 = 409,258.40 : x
  2. Step 2: Convert to fraction form
    521,920.28/781,898.28 = 409,258.40/x
  3. Step 3: Cross multiply
    521,920.28x = 781,898.28 × 409,258.40
  4. Step 4: Simplify right side
    521,920.28x = 319,998,439,035.55
  5. Step 5: Solve for x
    x = 319,998,439,035.55/521,920.28
  6. Step 6: Final answer
    x = 613,117.47

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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.