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Finding the Fourth Proportional to 287,775.11, 431,589.02 and 85,323.87

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Solution

The fourth proportional to 287,775.11, 431,589.02 and 85,323.87 is: 127,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,775.11 : 431,589.02 = 85,323.87 : x
  2. Step 2: Convert to fraction form
    287,775.11/431,589.02 = 85,323.87/x
  3. Step 3: Cross multiply
    287,775.11x = 431,589.02 × 85,323.87
  4. Step 4: Simplify right side
    287,775.11x = 36,824,845,435.91
  5. Step 5: Solve for x
    x = 36,824,845,435.91/287,775.11
  6. Step 6: Final answer
    x = 127,963.97

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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.