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Finding the Fourth Proportional to 457,713.70, 631,664.90 and 253,751.65

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Solution

The fourth proportional to 457,713.70, 631,664.90 and 253,751.65 is: 350,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,713.70 : 631,664.90 = 253,751.65 : x
  2. Step 2: Convert to fraction form
    457,713.70/631,664.90 = 253,751.65/x
  3. Step 3: Cross multiply
    457,713.70x = 631,664.90 × 253,751.65
  4. Step 4: Simplify right side
    457,713.70x = 160,286,010,622.09
  5. Step 5: Solve for x
    x = 160,286,010,622.09/457,713.70
  6. Step 6: Final answer
    x = 350,188.36

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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.