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Finding the Fourth Proportional to 457,400, 631,212 and 278,552

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Solution

The fourth proportional to 457,400, 631,212 and 278,552 is: 384,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,400 : 631,212 = 278,552 : x
  2. Step 2: Convert to fraction form
    457,400/631,212 = 278,552/x
  3. Step 3: Cross multiply
    457,400x = 631,212 × 278,552
  4. Step 4: Simplify right side
    457,400x = 175,825,365,024
  5. Step 5: Solve for x
    x = 175,825,365,024/457,400
  6. Step 6: Final answer
    x = 384,401.76

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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.