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Finding the Fourth Proportional to 287,641.55, 431,524.61 and 110,148.57

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Solution

The fourth proportional to 287,641.55, 431,524.61 and 110,148.57 is: 165,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,641.55 : 431,524.61 = 110,148.57 : x
  2. Step 2: Convert to fraction form
    287,641.55/431,524.61 = 110,148.57/x
  3. Step 3: Cross multiply
    287,641.55x = 431,524.61 × 110,148.57
  4. Step 4: Simplify right side
    287,641.55x = 47,531,818,160.56
  5. Step 5: Solve for x
    x = 47,531,818,160.56/287,641.55
  6. Step 6: Final answer
    x = 165,246.70

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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.