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Finding the Fourth Proportional to 678,687.96, 1,017,863.70 and 229,398.90

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Solution

The fourth proportional to 678,687.96, 1,017,863.70 and 229,398.90 is: 344,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,687.96 : 1,017,863.70 = 229,398.90 : x
  2. Step 2: Convert to fraction form
    678,687.96/1,017,863.70 = 229,398.90/x
  3. Step 3: Cross multiply
    678,687.96x = 1,017,863.70 × 229,398.90
  4. Step 4: Simplify right side
    678,687.96x = 233,496,813,129.93
  5. Step 5: Solve for x
    x = 233,496,813,129.93/678,687.96
  6. Step 6: Final answer
    x = 344,041.48

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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.