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Finding the Fourth Proportional to 457,469.64, 631,308.26 and 278,621.64

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Solution

The fourth proportional to 457,469.64, 631,308.26 and 278,621.64 is: 384,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,469.64 : 631,308.26 = 278,621.64 : x
  2. Step 2: Convert to fraction form
    457,469.64/631,308.26 = 278,621.64/x
  3. Step 3: Cross multiply
    457,469.64x = 631,308.26 × 278,621.64
  4. Step 4: Simplify right side
    457,469.64x = 175,896,142,746.75
  5. Step 5: Solve for x
    x = 175,896,142,746.75/457,469.64
  6. Step 6: Final answer
    x = 384,497.96

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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.