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Finding the Fourth Proportional to 282,758.20, 424,137.30 and 85,766.20

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Solution

The fourth proportional to 282,758.20, 424,137.30 and 85,766.20 is: 128,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,758.20 : 424,137.30 = 85,766.20 : x
  2. Step 2: Convert to fraction form
    282,758.20/424,137.30 = 85,766.20/x
  3. Step 3: Cross multiply
    282,758.20x = 424,137.30 × 85,766.20
  4. Step 4: Simplify right side
    282,758.20x = 36,376,644,499.26
  5. Step 5: Solve for x
    x = 36,376,644,499.26/282,758.20
  6. Step 6: Final answer
    x = 128,649.30

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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.