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Finding the Fourth Proportional to 299,123.12, 448,587.60 and 99,389.87

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Solution

The fourth proportional to 299,123.12, 448,587.60 and 99,389.87 is: 149,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.12 : 448,587.60 = 99,389.87 : x
  2. Step 2: Convert to fraction form
    299,123.12/448,587.60 = 99,389.87/x
  3. Step 3: Cross multiply
    299,123.12x = 448,587.60 × 99,389.87
  4. Step 4: Simplify right side
    299,123.12x = 44,585,063,247.61
  5. Step 5: Solve for x
    x = 44,585,063,247.61/299,123.12
  6. Step 6: Final answer
    x = 149,052.55

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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.