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Finding the Fourth Proportional to 458,480.70, 688,049.10 and 192,432.15

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Solution

The fourth proportional to 458,480.70, 688,049.10 and 192,432.15 is: 288,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,480.70 : 688,049.10 = 192,432.15 : x
  2. Step 2: Convert to fraction form
    458,480.70/688,049.10 = 192,432.15/x
  3. Step 3: Cross multiply
    458,480.70x = 688,049.10 × 192,432.15
  4. Step 4: Simplify right side
    458,480.70x = 132,402,767,618.57
  5. Step 5: Solve for x
    x = 132,402,767,618.57/458,480.70
  6. Step 6: Final answer
    x = 288,785.91

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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.