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Finding the Fourth Proportional to 378,162.54, 521,998.02 and 337,806.18

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Solution

The fourth proportional to 378,162.54, 521,998.02 and 337,806.18 is: 466,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,162.54 : 521,998.02 = 337,806.18 : x
  2. Step 2: Convert to fraction form
    378,162.54/521,998.02 = 337,806.18/x
  3. Step 3: Cross multiply
    378,162.54x = 521,998.02 × 337,806.18
  4. Step 4: Simplify right side
    378,162.54x = 176,334,157,103.76
  5. Step 5: Solve for x
    x = 176,334,157,103.76/378,162.54
  6. Step 6: Final answer
    x = 466,291.97

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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.