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Finding the Fourth Proportional to 287,542.80, 431,366.04 and 97,992.72

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Solution

The fourth proportional to 287,542.80, 431,366.04 and 97,992.72 is: 147,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,542.80 : 431,366.04 = 97,992.72 : x
  2. Step 2: Convert to fraction form
    287,542.80/431,366.04 = 97,992.72/x
  3. Step 3: Cross multiply
    287,542.80x = 431,366.04 × 97,992.72
  4. Step 4: Simplify right side
    287,542.80x = 42,270,731,575.23
  5. Step 5: Solve for x
    x = 42,270,731,575.23/287,542.80
  6. Step 6: Final answer
    x = 147,006.75

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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.