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Finding the Fourth Proportional to 457,698.52, 631,399.50 and 397,184.20

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Solution

The fourth proportional to 457,698.52, 631,399.50 and 397,184.20 is: 547,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,698.52 : 631,399.50 = 397,184.20 : x
  2. Step 2: Convert to fraction form
    457,698.52/631,399.50 = 397,184.20/x
  3. Step 3: Cross multiply
    457,698.52x = 631,399.50 × 397,184.20
  4. Step 4: Simplify right side
    457,698.52x = 250,781,905,287.90
  5. Step 5: Solve for x
    x = 250,781,905,287.90/457,698.52
  6. Step 6: Final answer
    x = 547,919.41

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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.