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Finding the Fourth Proportional to 457,928.28, 631,978.78 and 254,044.84

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Solution

The fourth proportional to 457,928.28, 631,978.78 and 254,044.84 is: 350,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,928.28 : 631,978.78 = 254,044.84 : x
  2. Step 2: Convert to fraction form
    457,928.28/631,978.78 = 254,044.84/x
  3. Step 3: Cross multiply
    457,928.28x = 631,978.78 × 254,044.84
  4. Step 4: Simplify right side
    457,928.28x = 160,550,948,048.50
  5. Step 5: Solve for x
    x = 160,550,948,048.50/457,928.28
  6. Step 6: Final answer
    x = 350,602.82

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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.