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Finding the Fourth Proportional to 377,404.71, 520,822.62 and 205,323.65

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Solution

The fourth proportional to 377,404.71, 520,822.62 and 205,323.65 is: 283,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,404.71 : 520,822.62 = 205,323.65 : x
  2. Step 2: Convert to fraction form
    377,404.71/520,822.62 = 205,323.65/x
  3. Step 3: Cross multiply
    377,404.71x = 520,822.62 × 205,323.65
  4. Step 4: Simplify right side
    377,404.71x = 106,937,198,736.85
  5. Step 5: Solve for x
    x = 106,937,198,736.85/377,404.71
  6. Step 6: Final answer
    x = 283,348.87

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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.