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Finding the Fourth Proportional to 457,871.72, 631,862.97 and 253,953.87

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Solution

The fourth proportional to 457,871.72, 631,862.97 and 253,953.87 is: 350,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,871.72 : 631,862.97 = 253,953.87 : x
  2. Step 2: Convert to fraction form
    457,871.72/631,862.97 = 253,953.87/x
  3. Step 3: Cross multiply
    457,871.72x = 631,862.97 × 253,953.87
  4. Step 4: Simplify right side
    457,871.72x = 160,464,046,541.19
  5. Step 5: Solve for x
    x = 160,464,046,541.19/457,871.72
  6. Step 6: Final answer
    x = 350,456.34

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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.