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Finding the Fourth Proportional to 457,972.70, 686,473.90 and 154,077.46

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Solution

The fourth proportional to 457,972.70, 686,473.90 and 154,077.46 is: 230,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,972.70 : 686,473.90 = 154,077.46 : x
  2. Step 2: Convert to fraction form
    457,972.70/686,473.90 = 154,077.46/x
  3. Step 3: Cross multiply
    457,972.70x = 686,473.90 × 154,077.46
  4. Step 4: Simplify right side
    457,972.70x = 105,770,152,766.92
  5. Step 5: Solve for x
    x = 105,770,152,766.92/457,972.70
  6. Step 6: Final answer
    x = 230,952.97

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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.