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Finding the Fourth Proportional to 642,258.40, 962,221.20 and 392,648.80

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Solution

The fourth proportional to 642,258.40, 962,221.20 and 392,648.80 is: 588,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,258.40 : 962,221.20 = 392,648.80 : x
  2. Step 2: Convert to fraction form
    642,258.40/962,221.20 = 392,648.80/x
  3. Step 3: Cross multiply
    642,258.40x = 962,221.20 × 392,648.80
  4. Step 4: Simplify right side
    642,258.40x = 377,814,999,514.56
  5. Step 5: Solve for x
    x = 377,814,999,514.56/642,258.40
  6. Step 6: Final answer
    x = 588,260.11

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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.