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Finding the Fourth Proportional to 287,887.71, 431,886.92 and 110,380.88

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Solution

The fourth proportional to 287,887.71, 431,886.92 and 110,380.88 is: 165,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,887.71 : 431,886.92 = 110,380.88 : x
  2. Step 2: Convert to fraction form
    287,887.71/431,886.92 = 110,380.88/x
  3. Step 3: Cross multiply
    287,887.71x = 431,886.92 × 110,380.88
  4. Step 4: Simplify right side
    287,887.71x = 47,672,056,658.47
  5. Step 5: Solve for x
    x = 47,672,056,658.47/287,887.71
  6. Step 6: Final answer
    x = 165,592.54

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1.5x scale

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.