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Finding the Fourth Proportional to 377,405.71, 520,824 and 205,324.65

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Solution

The fourth proportional to 377,405.71, 520,824 and 205,324.65 is: 283,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,405.71 : 520,824 = 205,324.65 : x
  2. Step 2: Convert to fraction form
    377,405.71/520,824 = 205,324.65/x
  3. Step 3: Cross multiply
    377,405.71x = 520,824 × 205,324.65
  4. Step 4: Simplify right side
    377,405.71x = 106,938,005,511.60
  5. Step 5: Solve for x
    x = 106,938,005,511.60/377,405.71
  6. Step 6: Final answer
    x = 283,350.26

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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.