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Finding the Fourth Proportional to 287,812.58, 431,472.69 and 110,446.88

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Solution

The fourth proportional to 287,812.58, 431,472.69 and 110,446.88 is: 165,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,812.58 : 431,472.69 = 110,446.88 : x
  2. Step 2: Convert to fraction form
    287,812.58/431,472.69 = 110,446.88/x
  3. Step 3: Cross multiply
    287,812.58x = 431,472.69 × 110,446.88
  4. Step 4: Simplify right side
    287,812.58x = 47,654,810,258.34
  5. Step 5: Solve for x
    x = 47,654,810,258.34/287,812.58
  6. Step 6: Final answer
    x = 165,575.84

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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.