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Finding the Fourth Proportional to 420,147.91, 579,853.13 and 238,887.00

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Solution

The fourth proportional to 420,147.91, 579,853.13 and 238,887.00 is: 329,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,147.91 : 579,853.13 = 238,887.00 : x
  2. Step 2: Convert to fraction form
    420,147.91/579,853.13 = 238,887.00/x
  3. Step 3: Cross multiply
    420,147.91x = 579,853.13 × 238,887.00
  4. Step 4: Simplify right side
    420,147.91x = 138,519,373,184.78
  5. Step 5: Solve for x
    x = 138,519,373,184.78/420,147.91
  6. Step 6: Final answer
    x = 329,691.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.