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Finding the Fourth Proportional to 457,980.48, 687,033.09 and 158,380.65

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Solution

The fourth proportional to 457,980.48, 687,033.09 and 158,380.65 is: 237,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,980.48 : 687,033.09 = 158,380.65 : x
  2. Step 2: Convert to fraction form
    457,980.48/687,033.09 = 158,380.65/x
  3. Step 3: Cross multiply
    457,980.48x = 687,033.09 × 158,380.65
  4. Step 4: Simplify right side
    457,980.48x = 108,812,747,365.71
  5. Step 5: Solve for x
    x = 108,812,747,365.71/457,980.48
  6. Step 6: Final answer
    x = 237,592.54

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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.