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Finding the Fourth Proportional to 457,764.88, 631,723.12 and 253,824.40

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Solution

The fourth proportional to 457,764.88, 631,723.12 and 253,824.40 is: 350,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,764.88 : 631,723.12 = 253,824.40 : x
  2. Step 2: Convert to fraction form
    457,764.88/631,723.12 = 253,824.40/x
  3. Step 3: Cross multiply
    457,764.88x = 631,723.12 × 253,824.40
  4. Step 4: Simplify right side
    457,764.88x = 160,346,741,900.13
  5. Step 5: Solve for x
    x = 160,346,741,900.13/457,764.88
  6. Step 6: Final answer
    x = 350,281.88

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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.