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Finding the Fourth Proportional to 287,984.62, 431,960.75 and 88,304.45

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Solution

The fourth proportional to 287,984.62, 431,960.75 and 88,304.45 is: 132,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,984.62 : 431,960.75 = 88,304.45 : x
  2. Step 2: Convert to fraction form
    287,984.62/431,960.75 = 88,304.45/x
  3. Step 3: Cross multiply
    287,984.62x = 431,960.75 × 88,304.45
  4. Step 4: Simplify right side
    287,984.62x = 38,144,056,008.82
  5. Step 5: Solve for x
    x = 38,144,056,008.82/287,984.62
  6. Step 6: Final answer
    x = 132,451.71

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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.