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Finding the Fourth Proportional to 457,143.96, 685,761 and 157,585.10

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Solution

The fourth proportional to 457,143.96, 685,761 and 157,585.10 is: 236,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,143.96 : 685,761 = 157,585.10 : x
  2. Step 2: Convert to fraction form
    457,143.96/685,761 = 157,585.10/x
  3. Step 3: Cross multiply
    457,143.96x = 685,761 × 157,585.10
  4. Step 4: Simplify right side
    457,143.96x = 108,065,715,761.10
  5. Step 5: Solve for x
    x = 108,065,715,761.10/457,143.96
  6. Step 6: Final answer
    x = 236,393.18

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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.