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Finding the Fourth Proportional to 287,818.28, 431,688.53 and 77,468.84

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Solution

The fourth proportional to 287,818.28, 431,688.53 and 77,468.84 is: 116,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,818.28 : 431,688.53 = 77,468.84 : x
  2. Step 2: Convert to fraction form
    287,818.28/431,688.53 = 77,468.84/x
  3. Step 3: Cross multiply
    287,818.28x = 431,688.53 × 77,468.84
  4. Step 4: Simplify right side
    287,818.28x = 33,442,407,114.62
  5. Step 5: Solve for x
    x = 33,442,407,114.62/287,818.28
  6. Step 6: Final answer
    x = 116,192.79

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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.