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Finding the Fourth Proportional to 287,898.88, 431,799.36 and 77,489.92

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Solution

The fourth proportional to 287,898.88, 431,799.36 and 77,489.92 is: 116,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,898.88 : 431,799.36 = 77,489.92 : x
  2. Step 2: Convert to fraction form
    287,898.88/431,799.36 = 77,489.92/x
  3. Step 3: Cross multiply
    287,898.88x = 431,799.36 × 77,489.92
  4. Step 4: Simplify right side
    287,898.88x = 33,460,097,862.45
  5. Step 5: Solve for x
    x = 33,460,097,862.45/287,898.88
  6. Step 6: Final answer
    x = 116,221.70

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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.