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Finding the Fourth Proportional to 378,980.16, 522,961.19 and 215,593.19

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Solution

The fourth proportional to 378,980.16, 522,961.19 and 215,593.19 is: 297,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,980.16 : 522,961.19 = 215,593.19 : x
  2. Step 2: Convert to fraction form
    378,980.16/522,961.19 = 215,593.19/x
  3. Step 3: Cross multiply
    378,980.16x = 522,961.19 × 215,593.19
  4. Step 4: Simplify right side
    378,980.16x = 112,746,870,665.34
  5. Step 5: Solve for x
    x = 112,746,870,665.34/378,980.16
  6. Step 6: Final answer
    x = 297,500.72

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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.