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Finding the Fourth Proportional to 457,601.70, 686,437.63 and 153,997.34

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Solution

The fourth proportional to 457,601.70, 686,437.63 and 153,997.34 is: 231,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,601.70 : 686,437.63 = 153,997.34 : x
  2. Step 2: Convert to fraction form
    457,601.70/686,437.63 = 153,997.34/x
  3. Step 3: Cross multiply
    457,601.70x = 686,437.63 × 153,997.34
  4. Step 4: Simplify right side
    457,601.70x = 105,709,569,095.90
  5. Step 5: Solve for x
    x = 105,709,569,095.90/457,601.70
  6. Step 6: Final answer
    x = 231,007.82

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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.