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Finding the Fourth Proportional to 457,468.64, 631,306.88 and 278,620.64

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Solution

The fourth proportional to 457,468.64, 631,306.88 and 278,620.64 is: 384,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,468.64 : 631,306.88 = 278,620.64 : x
  2. Step 2: Convert to fraction form
    457,468.64/631,306.88 = 278,620.64/x
  3. Step 3: Cross multiply
    457,468.64x = 631,306.88 × 278,620.64
  4. Step 4: Simplify right side
    457,468.64x = 175,895,126,942.00
  5. Step 5: Solve for x
    x = 175,895,126,942.00/457,468.64
  6. Step 6: Final answer
    x = 384,496.58

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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.