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Finding the Fourth Proportional to 282,640.40, 423,960.60 and 72,294.80

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Solution

The fourth proportional to 282,640.40, 423,960.60 and 72,294.80 is: 108,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,640.40 : 423,960.60 = 72,294.80 : x
  2. Step 2: Convert to fraction form
    282,640.40/423,960.60 = 72,294.80/x
  3. Step 3: Cross multiply
    282,640.40x = 423,960.60 × 72,294.80
  4. Step 4: Simplify right side
    282,640.40x = 30,650,146,784.88
  5. Step 5: Solve for x
    x = 30,650,146,784.88/282,640.40
  6. Step 6: Final answer
    x = 108,442.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.