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Finding the Fourth Proportional to 457,049.42, 685,154.20 and 157,458.76

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Solution

The fourth proportional to 457,049.42, 685,154.20 and 157,458.76 is: 236,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,049.42 : 685,154.20 = 157,458.76 : x
  2. Step 2: Convert to fraction form
    457,049.42/685,154.20 = 157,458.76/x
  3. Step 3: Cross multiply
    457,049.42x = 685,154.20 × 157,458.76
  4. Step 4: Simplify right side
    457,049.42x = 107,883,530,740.79
  5. Step 5: Solve for x
    x = 107,883,530,740.79/457,049.42
  6. Step 6: Final answer
    x = 236,043.47

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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.