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Finding the Fourth Proportional to 420,083.30, 579,691.86 and 238,770.02

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Solution

The fourth proportional to 420,083.30, 579,691.86 and 238,770.02 is: 329,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,083.30 : 579,691.86 = 238,770.02 : x
  2. Step 2: Convert to fraction form
    420,083.30/579,691.86 = 238,770.02/x
  3. Step 3: Cross multiply
    420,083.30x = 579,691.86 × 238,770.02
  4. Step 4: Simplify right side
    420,083.30x = 138,413,037,006.04
  5. Step 5: Solve for x
    x = 138,413,037,006.04/420,083.30
  6. Step 6: Final answer
    x = 329,489.50

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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.