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Finding the Fourth Proportional to 287,699.52, 431,549.28 and 100,764.48

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Solution

The fourth proportional to 287,699.52, 431,549.28 and 100,764.48 is: 151,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,699.52 : 431,549.28 = 100,764.48 : x
  2. Step 2: Convert to fraction form
    287,699.52/431,549.28 = 100,764.48/x
  3. Step 3: Cross multiply
    287,699.52x = 431,549.28 × 100,764.48
  4. Step 4: Simplify right side
    287,699.52x = 43,484,838,793.57
  5. Step 5: Solve for x
    x = 43,484,838,793.57/287,699.52
  6. Step 6: Final answer
    x = 151,146.72

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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.