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Finding the Fourth Proportional to 378,892.92, 522,834.98 and 209,116.10

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Solution

The fourth proportional to 378,892.92, 522,834.98 and 209,116.10 is: 288,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,892.92 : 522,834.98 = 209,116.10 : x
  2. Step 2: Convert to fraction form
    378,892.92/522,834.98 = 209,116.10/x
  3. Step 3: Cross multiply
    378,892.92x = 522,834.98 × 209,116.10
  4. Step 4: Simplify right side
    378,892.92x = 109,333,211,961.18
  5. Step 5: Solve for x
    x = 109,333,211,961.18/378,892.92
  6. Step 6: Final answer
    x = 288,559.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.