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Finding the Fourth Proportional to 457,928.29, 631,978.78 and 254,044.83

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Solution

The fourth proportional to 457,928.29, 631,978.78 and 254,044.83 is: 350,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,928.29 : 631,978.78 = 254,044.83 : x
  2. Step 2: Convert to fraction form
    457,928.29/631,978.78 = 254,044.83/x
  3. Step 3: Cross multiply
    457,928.29x = 631,978.78 × 254,044.83
  4. Step 4: Simplify right side
    457,928.29x = 160,550,941,728.71
  5. Step 5: Solve for x
    x = 160,550,941,728.71/457,928.29
  6. Step 6: Final answer
    x = 350,602.80

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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.