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Finding the Fourth Proportional to 517,591.45, 776,397.50 and 138,511.58

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Solution

The fourth proportional to 517,591.45, 776,397.50 and 138,511.58 is: 207,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,591.45 : 776,397.50 = 138,511.58 : x
  2. Step 2: Convert to fraction form
    517,591.45/776,397.50 = 138,511.58/x
  3. Step 3: Cross multiply
    517,591.45x = 776,397.50 × 138,511.58
  4. Step 4: Simplify right side
    517,591.45x = 107,540,043,740.49
  5. Step 5: Solve for x
    x = 107,540,043,740.49/517,591.45
  6. Step 6: Final answer
    x = 207,770.13

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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.