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Finding the Fourth Proportional to 282,855.20, 424,273.20 and 72,495.20

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Solution

The fourth proportional to 282,855.20, 424,273.20 and 72,495.20 is: 108,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,855.20 : 424,273.20 = 72,495.20 : x
  2. Step 2: Convert to fraction form
    282,855.20/424,273.20 = 72,495.20/x
  3. Step 3: Cross multiply
    282,855.20x = 424,273.20 × 72,495.20
  4. Step 4: Simplify right side
    282,855.20x = 30,757,770,488.64
  5. Step 5: Solve for x
    x = 30,757,770,488.64/282,855.20
  6. Step 6: Final answer
    x = 108,740.34

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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.