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Finding the Fourth Proportional to 378,981.59, 522,994.93 and 209,215.71

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Solution

The fourth proportional to 378,981.59, 522,994.93 and 209,215.71 is: 288,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,981.59 : 522,994.93 = 209,215.71 : x
  2. Step 2: Convert to fraction form
    378,981.59/522,994.93 = 209,215.71/x
  3. Step 3: Cross multiply
    378,981.59x = 522,994.93 × 209,215.71
  4. Step 4: Simplify right side
    378,981.59x = 109,418,755,083.31
  5. Step 5: Solve for x
    x = 109,418,755,083.31/378,981.59
  6. Step 6: Final answer
    x = 288,717.87

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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.