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Finding the Fourth Proportional to 287,523.92, 431,311.80 and 110,023.76

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Solution

The fourth proportional to 287,523.92, 431,311.80 and 110,023.76 is: 165,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,523.92 : 431,311.80 = 110,023.76 : x
  2. Step 2: Convert to fraction form
    287,523.92/431,311.80 = 110,023.76/x
  3. Step 3: Cross multiply
    287,523.92x = 431,311.80 × 110,023.76
  4. Step 4: Simplify right side
    287,523.92x = 47,454,545,968.37
  5. Step 5: Solve for x
    x = 47,454,545,968.37/287,523.92
  6. Step 6: Final answer
    x = 165,045.56

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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.