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Finding the Fourth Proportional to 515,148.54, 772,840.60 and 178,188.96

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Solution

The fourth proportional to 515,148.54, 772,840.60 and 178,188.96 is: 267,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,148.54 : 772,840.60 = 178,188.96 : x
  2. Step 2: Convert to fraction form
    515,148.54/772,840.60 = 178,188.96/x
  3. Step 3: Cross multiply
    515,148.54x = 772,840.60 × 178,188.96
  4. Step 4: Simplify right side
    515,148.54x = 137,711,662,759.78
  5. Step 5: Solve for x
    x = 137,711,662,759.78/515,148.54
  6. Step 6: Final answer
    x = 267,324.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.