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Finding the Fourth Proportional to 457,397.44, 631,208.46 and 278,549.44

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Solution

The fourth proportional to 457,397.44, 631,208.46 and 278,549.44 is: 384,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,397.44 : 631,208.46 = 278,549.44 : x
  2. Step 2: Convert to fraction form
    457,397.44/631,208.46 = 278,549.44/x
  3. Step 3: Cross multiply
    457,397.44x = 631,208.46 × 278,549.44
  4. Step 4: Simplify right side
    457,397.44x = 175,822,762,522.80
  5. Step 5: Solve for x
    x = 175,822,762,522.80/457,397.44
  6. Step 6: Final answer
    x = 384,398.22

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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.