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Finding the Fourth Proportional to 457,705.28, 631,695.12 and 266,778.56

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Solution

The fourth proportional to 457,705.28, 631,695.12 and 266,778.56 is: 368,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,705.28 : 631,695.12 = 266,778.56 : x
  2. Step 2: Convert to fraction form
    457,705.28/631,695.12 = 266,778.56/x
  3. Step 3: Cross multiply
    457,705.28x = 631,695.12 × 266,778.56
  4. Step 4: Simplify right side
    457,705.28x = 168,522,714,472.63
  5. Step 5: Solve for x
    x = 168,522,714,472.63/457,705.28
  6. Step 6: Final answer
    x = 368,190.45

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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.