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Finding the Fourth Proportional to 377,221.65, 520,569.56 and 205,143.31

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Solution

The fourth proportional to 377,221.65, 520,569.56 and 205,143.31 is: 283,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,221.65 : 520,569.56 = 205,143.31 : x
  2. Step 2: Convert to fraction form
    377,221.65/520,569.56 = 205,143.31/x
  3. Step 3: Cross multiply
    377,221.65x = 520,569.56 × 205,143.31
  4. Step 4: Simplify right side
    377,221.65x = 106,791,361,597.93
  5. Step 5: Solve for x
    x = 106,791,361,597.93/377,221.65
  6. Step 6: Final answer
    x = 283,099.77

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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.