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Finding the Fourth Proportional to 287,736.57, 431,604.24 and 77,374.71

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Solution

The fourth proportional to 287,736.57, 431,604.24 and 77,374.71 is: 116,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,736.57 : 431,604.24 = 77,374.71 : x
  2. Step 2: Convert to fraction form
    287,736.57/431,604.24 = 77,374.71/x
  3. Step 3: Cross multiply
    287,736.57x = 431,604.24 × 77,374.71
  4. Step 4: Simplify right side
    287,736.57x = 33,395,252,904.77
  5. Step 5: Solve for x
    x = 33,395,252,904.77/287,736.57
  6. Step 6: Final answer
    x = 116,061.90

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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.