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Finding the Fourth Proportional to 285,658.18, 428,513.24 and 75,296.12

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Solution

The fourth proportional to 285,658.18, 428,513.24 and 75,296.12 is: 112,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,658.18 : 428,513.24 = 75,296.12 : x
  2. Step 2: Convert to fraction form
    285,658.18/428,513.24 = 75,296.12/x
  3. Step 3: Cross multiply
    285,658.18x = 428,513.24 × 75,296.12
  4. Step 4: Simplify right side
    285,658.18x = 32,265,382,386.30
  5. Step 5: Solve for x
    x = 32,265,382,386.30/285,658.18
  6. Step 6: Final answer
    x = 112,951.02

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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.