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Finding the Fourth Proportional to 287,646.90, 431,532.62 and 110,153.91

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Solution

The fourth proportional to 287,646.90, 431,532.62 and 110,153.91 is: 165,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,646.90 : 431,532.62 = 110,153.91 : x
  2. Step 2: Convert to fraction form
    287,646.90/431,532.62 = 110,153.91/x
  3. Step 3: Cross multiply
    287,646.90x = 431,532.62 × 110,153.91
  4. Step 4: Simplify right side
    287,646.90x = 47,535,005,385.54
  5. Step 5: Solve for x
    x = 47,535,005,385.54/287,646.90
  6. Step 6: Final answer
    x = 165,254.71

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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.