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Finding the Fourth Proportional to 392,301.02, 588,538.99 and 142,983.02

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Solution

The fourth proportional to 392,301.02, 588,538.99 and 142,983.02 is: 214,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,301.02 : 588,538.99 = 142,983.02 : x
  2. Step 2: Convert to fraction form
    392,301.02/588,538.99 = 142,983.02/x
  3. Step 3: Cross multiply
    392,301.02x = 588,538.99 × 142,983.02
  4. Step 4: Simplify right side
    392,301.02x = 84,151,082,177.95
  5. Step 5: Solve for x
    x = 84,151,082,177.95/392,301.02
  6. Step 6: Final answer
    x = 214,506.41

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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.