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Finding the Fourth Proportional to 378,170.60, 521,875.51 and 206,088.61

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Solution

The fourth proportional to 378,170.60, 521,875.51 and 206,088.61 is: 284,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,170.60 : 521,875.51 = 206,088.61 : x
  2. Step 2: Convert to fraction form
    378,170.60/521,875.51 = 206,088.61/x
  3. Step 3: Cross multiply
    378,170.60x = 521,875.51 × 206,088.61
  4. Step 4: Simplify right side
    378,170.60x = 107,552,597,401.86
  5. Step 5: Solve for x
    x = 107,552,597,401.86/378,170.60
  6. Step 6: Final answer
    x = 284,402.33

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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.