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Finding the Fourth Proportional to 431,454.38, 647,137.83 and 115,870.28

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Solution

The fourth proportional to 431,454.38, 647,137.83 and 115,870.28 is: 173,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,454.38 : 647,137.83 = 115,870.28 : x
  2. Step 2: Convert to fraction form
    431,454.38/647,137.83 = 115,870.28/x
  3. Step 3: Cross multiply
    431,454.38x = 647,137.83 × 115,870.28
  4. Step 4: Simplify right side
    431,454.38x = 74,984,041,560.69
  5. Step 5: Solve for x
    x = 74,984,041,560.69/431,454.38
  6. Step 6: Final answer
    x = 173,793.67

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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.