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Finding the Fourth Proportional to 307,200.13, 460,877.97 and 85,584.13

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Solution

The fourth proportional to 307,200.13, 460,877.97 and 85,584.13 is: 128,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,200.13 : 460,877.97 = 85,584.13 : x
  2. Step 2: Convert to fraction form
    307,200.13/460,877.97 = 85,584.13/x
  3. Step 3: Cross multiply
    307,200.13x = 460,877.97 × 85,584.13
  4. Step 4: Simplify right side
    307,200.13x = 39,443,840,098.62
  5. Step 5: Solve for x
    x = 39,443,840,098.62/307,200.13
  6. Step 6: Final answer
    x = 128,397.86

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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.