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Finding the Fourth Proportional to 282,418.50, 389,640.09 and 180,503.61

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Solution

The fourth proportional to 282,418.50, 389,640.09 and 180,503.61 is: 249,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,418.50 : 389,640.09 = 180,503.61 : x
  2. Step 2: Convert to fraction form
    282,418.50/389,640.09 = 180,503.61/x
  3. Step 3: Cross multiply
    282,418.50x = 389,640.09 × 180,503.61
  4. Step 4: Simplify right side
    282,418.50x = 70,331,442,845.72
  5. Step 5: Solve for x
    x = 70,331,442,845.72/282,418.50
  6. Step 6: Final answer
    x = 249,032.70

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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.