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Finding the Fourth Proportional to 288,726.73, 433,164.84 and 89,042.71

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Solution

The fourth proportional to 288,726.73, 433,164.84 and 89,042.71 is: 133,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,726.73 : 433,164.84 = 89,042.71 : x
  2. Step 2: Convert to fraction form
    288,726.73/433,164.84 = 89,042.71/x
  3. Step 3: Cross multiply
    288,726.73x = 433,164.84 × 89,042.71
  4. Step 4: Simplify right side
    288,726.73x = 38,570,171,230.32
  5. Step 5: Solve for x
    x = 38,570,171,230.32/288,726.73
  6. Step 6: Final answer
    x = 133,587.12

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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.