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Finding the Fourth Proportional to 398,877.92, 598,236.40 and 146,072.11

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Solution

The fourth proportional to 398,877.92, 598,236.40 and 146,072.11 is: 219,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,877.92 : 598,236.40 = 146,072.11 : x
  2. Step 2: Convert to fraction form
    398,877.92/598,236.40 = 146,072.11/x
  3. Step 3: Cross multiply
    398,877.92x = 598,236.40 × 146,072.11
  4. Step 4: Simplify right side
    398,877.92x = 87,385,653,226.80
  5. Step 5: Solve for x
    x = 87,385,653,226.80/398,877.92
  6. Step 6: Final answer
    x = 219,078.69

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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.