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Finding the Fourth Proportional to 457,617.52, 631,512.32 and 278,769.52

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Solution

The fourth proportional to 457,617.52, 631,512.32 and 278,769.52 is: 384,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,617.52 : 631,512.32 = 278,769.52 : x
  2. Step 2: Convert to fraction form
    457,617.52/631,512.32 = 278,769.52/x
  3. Step 3: Cross multiply
    457,617.52x = 631,512.32 × 278,769.52
  4. Step 4: Simplify right side
    457,617.52x = 176,046,386,320.49
  5. Step 5: Solve for x
    x = 176,046,386,320.49/457,617.52
  6. Step 6: Final answer
    x = 384,702.02

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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.