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Finding the Fourth Proportional to 514,717.39, 772,179.28 and 177,770.40

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Solution

The fourth proportional to 514,717.39, 772,179.28 and 177,770.40 is: 266,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,717.39 : 772,179.28 = 177,770.40 : x
  2. Step 2: Convert to fraction form
    514,717.39/772,179.28 = 177,770.40/x
  3. Step 3: Cross multiply
    514,717.39x = 772,179.28 × 177,770.40
  4. Step 4: Simplify right side
    514,717.39x = 137,270,616,137.21
  5. Step 5: Solve for x
    x = 137,270,616,137.21/514,717.39
  6. Step 6: Final answer
    x = 266,691.24

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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.