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Finding the Fourth Proportional to 457,348.16, 631,359.84 and 321,498.56

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Solution

The fourth proportional to 457,348.16, 631,359.84 and 321,498.56 is: 443,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,348.16 : 631,359.84 = 321,498.56 : x
  2. Step 2: Convert to fraction form
    457,348.16/631,359.84 = 321,498.56/x
  3. Step 3: Cross multiply
    457,348.16x = 631,359.84 × 321,498.56
  4. Step 4: Simplify right side
    457,348.16x = 202,981,279,401.83
  5. Step 5: Solve for x
    x = 202,981,279,401.83/457,348.16
  6. Step 6: Final answer
    x = 443,822.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.