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Finding the Fourth Proportional to 457,712.64, 631,418.72 and 397,198.24

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Solution

The fourth proportional to 457,712.64, 631,418.72 and 397,198.24 is: 547,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,712.64 : 631,418.72 = 397,198.24 : x
  2. Step 2: Convert to fraction form
    457,712.64/631,418.72 = 397,198.24/x
  3. Step 3: Cross multiply
    457,712.64x = 631,418.72 × 397,198.24
  4. Step 4: Simplify right side
    457,712.64x = 250,798,404,287.05
  5. Step 5: Solve for x
    x = 250,798,404,287.05/457,712.64
  6. Step 6: Final answer
    x = 547,938.56

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1.5x scale

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.