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Finding the Fourth Proportional to 578,098.75, 797,776.28 and 323,499.15

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Solution

The fourth proportional to 578,098.75, 797,776.28 and 323,499.15 is: 446,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,098.75 : 797,776.28 = 323,499.15 : x
  2. Step 2: Convert to fraction form
    578,098.75/797,776.28 = 323,499.15/x
  3. Step 3: Cross multiply
    578,098.75x = 797,776.28 × 323,499.15
  4. Step 4: Simplify right side
    578,098.75x = 258,079,948,470.16
  5. Step 5: Solve for x
    x = 258,079,948,470.16/578,098.75
  6. Step 6: Final answer
    x = 446,428.83

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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.