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Finding the Fourth Proportional to 287,760.53, 431,567.13 and 85,309.29

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Solution

The fourth proportional to 287,760.53, 431,567.13 and 85,309.29 is: 127,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,760.53 : 431,567.13 = 85,309.29 : x
  2. Step 2: Convert to fraction form
    287,760.53/431,567.13 = 85,309.29/x
  3. Step 3: Cross multiply
    287,760.53x = 431,567.13 × 85,309.29
  4. Step 4: Simplify right side
    287,760.53x = 36,816,683,289.80
  5. Step 5: Solve for x
    x = 36,816,683,289.80/287,760.53
  6. Step 6: Final answer
    x = 127,942.09

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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.