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Finding the Fourth Proportional to 656,099.20, 984,187.68 and 206,834.32

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Solution

The fourth proportional to 656,099.20, 984,187.68 and 206,834.32 is: 310,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,099.20 : 984,187.68 = 206,834.32 : x
  2. Step 2: Convert to fraction form
    656,099.20/984,187.68 = 206,834.32/x
  3. Step 3: Cross multiply
    656,099.20x = 984,187.68 × 206,834.32
  4. Step 4: Simplify right side
    656,099.20x = 203,563,789,545.18
  5. Step 5: Solve for x
    x = 203,563,789,545.18/656,099.20
  6. Step 6: Final answer
    x = 310,263.74

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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.