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Finding the Fourth Proportional to 392,498.40, 541,657.74 and 220,430.10

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Solution

The fourth proportional to 392,498.40, 541,657.74 and 220,430.10 is: 304,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,498.40 : 541,657.74 = 220,430.10 : x
  2. Step 2: Convert to fraction form
    392,498.40/541,657.74 = 220,430.10/x
  3. Step 3: Cross multiply
    392,498.40x = 541,657.74 × 220,430.10
  4. Step 4: Simplify right side
    392,498.40x = 119,397,669,793.97
  5. Step 5: Solve for x
    x = 119,397,669,793.97/392,498.40
  6. Step 6: Final answer
    x = 304,199.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.