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Finding the Fourth Proportional to 458,456.40, 687,684.60 and 192,128.40

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Solution

The fourth proportional to 458,456.40, 687,684.60 and 192,128.40 is: 288,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,456.40 : 687,684.60 = 192,128.40 : x
  2. Step 2: Convert to fraction form
    458,456.40/687,684.60 = 192,128.40/x
  3. Step 3: Cross multiply
    458,456.40x = 687,684.60 × 192,128.40
  4. Step 4: Simplify right side
    458,456.40x = 132,123,741,902.64
  5. Step 5: Solve for x
    x = 132,123,741,902.64/458,456.40
  6. Step 6: Final answer
    x = 288,192.60

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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.