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Finding the Fourth Proportional to 431,840.10, 647,703.45 and 132,350.70

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Solution

The fourth proportional to 431,840.10, 647,703.45 and 132,350.70 is: 198,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,840.10 : 647,703.45 = 132,350.70 : x
  2. Step 2: Convert to fraction form
    431,840.10/647,703.45 = 132,350.70/x
  3. Step 3: Cross multiply
    431,840.10x = 647,703.45 × 132,350.70
  4. Step 4: Simplify right side
    431,840.10x = 85,724,004,999.92
  5. Step 5: Solve for x
    x = 85,724,004,999.92/431,840.10
  6. Step 6: Final answer
    x = 198,508.67

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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.