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Finding the Fourth Proportional to 287,658.72, 431,550.36 and 110,165.72

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Solution

The fourth proportional to 287,658.72, 431,550.36 and 110,165.72 is: 165,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,658.72 : 431,550.36 = 110,165.72 : x
  2. Step 2: Convert to fraction form
    287,658.72/431,550.36 = 110,165.72/x
  3. Step 3: Cross multiply
    287,658.72x = 431,550.36 × 110,165.72
  4. Step 4: Simplify right side
    287,658.72x = 47,542,053,967.91
  5. Step 5: Solve for x
    x = 47,542,053,967.91/287,658.72
  6. Step 6: Final answer
    x = 165,272.42

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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.