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Finding the Fourth Proportional to 458,318.78, 632,470.40 and 254,357.86

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Solution

The fourth proportional to 458,318.78, 632,470.40 and 254,357.86 is: 351,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,318.78 : 632,470.40 = 254,357.86 : x
  2. Step 2: Convert to fraction form
    458,318.78/632,470.40 = 254,357.86/x
  3. Step 3: Cross multiply
    458,318.78x = 632,470.40 × 254,357.86
  4. Step 4: Simplify right side
    458,318.78x = 160,873,814,930.89
  5. Step 5: Solve for x
    x = 160,873,814,930.89/458,318.78
  6. Step 6: Final answer
    x = 351,008.56

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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.