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Finding the Fourth Proportional to 287,753.16, 431,577.48 and 77,341.88

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Solution

The fourth proportional to 287,753.16, 431,577.48 and 77,341.88 is: 115,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,753.16 : 431,577.48 = 77,341.88 : x
  2. Step 2: Convert to fraction form
    287,753.16/431,577.48 = 77,341.88/x
  3. Step 3: Cross multiply
    287,753.16x = 431,577.48 × 77,341.88
  4. Step 4: Simplify right side
    287,753.16x = 33,379,013,668.86
  5. Step 5: Solve for x
    x = 33,379,013,668.86/287,753.16
  6. Step 6: Final answer
    x = 115,998.77

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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.