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Finding the Fourth Proportional to 521,702.80, 781,387.80 and 402,989.20

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Solution

The fourth proportional to 521,702.80, 781,387.80 and 402,989.20 is: 603,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,702.80 : 781,387.80 = 402,989.20 : x
  2. Step 2: Convert to fraction form
    521,702.80/781,387.80 = 402,989.20/x
  3. Step 3: Cross multiply
    521,702.80x = 781,387.80 × 402,989.20
  4. Step 4: Simplify right side
    521,702.80x = 314,890,844,411.76
  5. Step 5: Solve for x
    x = 314,890,844,411.76/521,702.80
  6. Step 6: Final answer
    x = 603,582.81

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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.