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Finding the Fourth Proportional to 517,734.72, 776,700 and 202,171.68

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Solution

The fourth proportional to 517,734.72, 776,700 and 202,171.68 is: 303,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,734.72 : 776,700 = 202,171.68 : x
  2. Step 2: Convert to fraction form
    517,734.72/776,700 = 202,171.68/x
  3. Step 3: Cross multiply
    517,734.72x = 776,700 × 202,171.68
  4. Step 4: Simplify right side
    517,734.72x = 157,026,743,856
  5. Step 5: Solve for x
    x = 157,026,743,856/517,734.72
  6. Step 6: Final answer
    x = 303,295.76

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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.