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Finding the Fourth Proportional to 521,813.76, 781,821.97 and 407,917.25

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Solution

The fourth proportional to 521,813.76, 781,821.97 and 407,917.25 is: 611,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,813.76 : 781,821.97 = 407,917.25 : x
  2. Step 2: Convert to fraction form
    521,813.76/781,821.97 = 407,917.25/x
  3. Step 3: Cross multiply
    521,813.76x = 781,821.97 × 407,917.25
  4. Step 4: Simplify right side
    521,813.76x = 318,918,666,640.30
  5. Step 5: Solve for x
    x = 318,918,666,640.30/521,813.76
  6. Step 6: Final answer
    x = 611,173.36

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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.