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Finding the Fourth Proportional to 517,442.78, 776,164.20 and 143,465.78

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Solution

The fourth proportional to 517,442.78, 776,164.20 and 143,465.78 is: 215,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,442.78 : 776,164.20 = 143,465.78 : x
  2. Step 2: Convert to fraction form
    517,442.78/776,164.20 = 143,465.78/x
  3. Step 3: Cross multiply
    517,442.78x = 776,164.20 × 143,465.78
  4. Step 4: Simplify right side
    517,442.78x = 111,353,002,361.08
  5. Step 5: Solve for x
    x = 111,353,002,361.08/517,442.78
  6. Step 6: Final answer
    x = 215,198.68

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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.