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Finding the Fourth Proportional to 287,814.58, 431,475.69 and 110,448.88

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Solution

The fourth proportional to 287,814.58, 431,475.69 and 110,448.88 is: 165,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,814.58 : 431,475.69 = 110,448.88 : x
  2. Step 2: Convert to fraction form
    287,814.58/431,475.69 = 110,448.88/x
  3. Step 3: Cross multiply
    287,814.58x = 431,475.69 × 110,448.88
  4. Step 4: Simplify right side
    287,814.58x = 47,656,006,707.73
  5. Step 5: Solve for x
    x = 47,656,006,707.73/287,814.58
  6. Step 6: Final answer
    x = 165,578.85

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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.