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Finding the Fourth Proportional to 298,713.60, 448,060.80 and 99,043.20

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Solution

The fourth proportional to 298,713.60, 448,060.80 and 99,043.20 is: 148,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,713.60 : 448,060.80 = 99,043.20 : x
  2. Step 2: Convert to fraction form
    298,713.60/448,060.80 = 99,043.20/x
  3. Step 3: Cross multiply
    298,713.60x = 448,060.80 × 99,043.20
  4. Step 4: Simplify right side
    298,713.60x = 44,377,375,426.56
  5. Step 5: Solve for x
    x = 44,377,375,426.56/298,713.60
  6. Step 6: Final answer
    x = 148,561.62

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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.