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Finding the Fourth Proportional to 387,761.60, 581,335.20 and 212,657.60

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Solution

The fourth proportional to 387,761.60, 581,335.20 and 212,657.60 is: 318,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,761.60 : 581,335.20 = 212,657.60 : x
  2. Step 2: Convert to fraction form
    387,761.60/581,335.20 = 212,657.60/x
  3. Step 3: Cross multiply
    387,761.60x = 581,335.20 × 212,657.60
  4. Step 4: Simplify right side
    387,761.60x = 123,625,348,427.52
  5. Step 5: Solve for x
    x = 123,625,348,427.52/387,761.60
  6. Step 6: Final answer
    x = 318,817.92

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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.