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Finding the Fourth Proportional to 457,711.70, 631,662.14 and 253,749.65

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Solution

The fourth proportional to 457,711.70, 631,662.14 and 253,749.65 is: 350,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,711.70 : 631,662.14 = 253,749.65 : x
  2. Step 2: Convert to fraction form
    457,711.70/631,662.14 = 253,749.65/x
  3. Step 3: Cross multiply
    457,711.70x = 631,662.14 × 253,749.65
  4. Step 4: Simplify right side
    457,711.70x = 160,284,044,419.31
  5. Step 5: Solve for x
    x = 160,284,044,419.31/457,711.70
  6. Step 6: Final answer
    x = 350,185.60

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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.