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Finding the Fourth Proportional to 398,715.48, 598,174.02 and 132,477.30

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Solution

The fourth proportional to 398,715.48, 598,174.02 and 132,477.30 is: 198,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,715.48 : 598,174.02 = 132,477.30 : x
  2. Step 2: Convert to fraction form
    398,715.48/598,174.02 = 132,477.30/x
  3. Step 3: Cross multiply
    398,715.48x = 598,174.02 × 132,477.30
  4. Step 4: Simplify right side
    398,715.48x = 79,244,479,099.75
  5. Step 5: Solve for x
    x = 79,244,479,099.75/398,715.48
  6. Step 6: Final answer
    x = 198,749.44

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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.