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Finding the Fourth Proportional to 515,083.26, 772,591.05 and 178,045.50

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Solution

The fourth proportional to 515,083.26, 772,591.05 and 178,045.50 is: 267,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,083.26 : 772,591.05 = 178,045.50 : x
  2. Step 2: Convert to fraction form
    515,083.26/772,591.05 = 178,045.50/x
  3. Step 3: Cross multiply
    515,083.26x = 772,591.05 × 178,045.50
  4. Step 4: Simplify right side
    515,083.26x = 137,556,359,792.78
  5. Step 5: Solve for x
    x = 137,556,359,792.78/515,083.26
  6. Step 6: Final answer
    x = 267,056.55

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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.