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Finding the Fourth Proportional to 298,586.48, 447,274.92 and 138,436.88

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Solution

The fourth proportional to 298,586.48, 447,274.92 and 138,436.88 is: 207,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,586.48 : 447,274.92 = 138,436.88 : x
  2. Step 2: Convert to fraction form
    298,586.48/447,274.92 = 138,436.88/x
  3. Step 3: Cross multiply
    298,586.48x = 447,274.92 × 138,436.88
  4. Step 4: Simplify right side
    298,586.48x = 61,919,344,427.05
  5. Step 5: Solve for x
    x = 61,919,344,427.05/298,586.48
  6. Step 6: Final answer
    x = 207,374.91

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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.