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Finding the Fourth Proportional to 287,864.74, 431,796.48 and 77,502.88

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Solution

The fourth proportional to 287,864.74, 431,796.48 and 77,502.88 is: 116,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,864.74 : 431,796.48 = 77,502.88 : x
  2. Step 2: Convert to fraction form
    287,864.74/431,796.48 = 77,502.88/x
  3. Step 3: Cross multiply
    287,864.74x = 431,796.48 × 77,502.88
  4. Step 4: Simplify right side
    287,864.74x = 33,465,470,773.86
  5. Step 5: Solve for x
    x = 33,465,470,773.86/287,864.74
  6. Step 6: Final answer
    x = 116,254.15

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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.