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Finding the Fourth Proportional to 457,692, 631,614.96 and 256,552.80

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Solution

The fourth proportional to 457,692, 631,614.96 and 256,552.80 is: 354,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,692 : 631,614.96 = 256,552.80 : x
  2. Step 2: Convert to fraction form
    457,692/631,614.96 = 256,552.80/x
  3. Step 3: Cross multiply
    457,692x = 631,614.96 × 256,552.80
  4. Step 4: Simplify right side
    457,692x = 162,042,586,509.89
  5. Step 5: Solve for x
    x = 162,042,586,509.89/457,692
  6. Step 6: Final answer
    x = 354,042.86

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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.