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Finding the Fourth Proportional to 386,717.96, 580,068.02 and 227,802

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Solution

The fourth proportional to 386,717.96, 580,068.02 and 227,802 is: 341,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,717.96 : 580,068.02 = 227,802 : x
  2. Step 2: Convert to fraction form
    386,717.96/580,068.02 = 227,802/x
  3. Step 3: Cross multiply
    386,717.96x = 580,068.02 × 227,802
  4. Step 4: Simplify right side
    386,717.96x = 132,140,655,092.04
  5. Step 5: Solve for x
    x = 132,140,655,092.04/386,717.96
  6. Step 6: Final answer
    x = 341,697.75

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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.