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Finding the Fourth Proportional to 287,910.23, 431,928.53 and 88,245.64

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Solution

The fourth proportional to 287,910.23, 431,928.53 and 88,245.64 is: 132,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,910.23 : 431,928.53 = 88,245.64 : x
  2. Step 2: Convert to fraction form
    287,910.23/431,928.53 = 88,245.64/x
  3. Step 3: Cross multiply
    287,910.23x = 431,928.53 × 88,245.64
  4. Step 4: Simplify right side
    287,910.23x = 38,115,807,315.92
  5. Step 5: Solve for x
    x = 38,115,807,315.92/287,910.23
  6. Step 6: Final answer
    x = 132,387.82

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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.