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Finding the Fourth Proportional to 457,219.98, 631,182.36 and 304,512.30

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Solution

The fourth proportional to 457,219.98, 631,182.36 and 304,512.30 is: 420,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,219.98 : 631,182.36 = 304,512.30 : x
  2. Step 2: Convert to fraction form
    457,219.98/631,182.36 = 304,512.30/x
  3. Step 3: Cross multiply
    457,219.98x = 631,182.36 × 304,512.30
  4. Step 4: Simplify right side
    457,219.98x = 192,202,789,007.12
  5. Step 5: Solve for x
    x = 192,202,789,007.12/457,219.98
  6. Step 6: Final answer
    x = 420,372.69

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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.