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Finding the Fourth Proportional to 457,367.67, 685,921.86 and 288,635.22

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Solution

The fourth proportional to 457,367.67, 685,921.86 and 288,635.22 is: 432,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,367.67 : 685,921.86 = 288,635.22 : x
  2. Step 2: Convert to fraction form
    457,367.67/685,921.86 = 288,635.22/x
  3. Step 3: Cross multiply
    457,367.67x = 685,921.86 × 288,635.22
  4. Step 4: Simplify right side
    457,367.67x = 197,981,206,963.91
  5. Step 5: Solve for x
    x = 197,981,206,963.91/457,367.67
  6. Step 6: Final answer
    x = 432,871.01

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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.