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Finding the Fourth Proportional to 377,411.78, 520,832.39 and 205,330.73

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Solution

The fourth proportional to 377,411.78, 520,832.39 and 205,330.73 is: 283,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,411.78 : 520,832.39 = 205,330.73 : x
  2. Step 2: Convert to fraction form
    377,411.78/520,832.39 = 205,330.73/x
  3. Step 3: Cross multiply
    377,411.78x = 520,832.39 × 205,330.73
  4. Step 4: Simplify right side
    377,411.78x = 106,942,894,117.07
  5. Step 5: Solve for x
    x = 106,942,894,117.07/377,411.78
  6. Step 6: Final answer
    x = 283,358.65

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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.