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Finding the Fourth Proportional to 283,206.80, 424,810.20 and 269,428.70

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Solution

The fourth proportional to 283,206.80, 424,810.20 and 269,428.70 is: 404,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,206.80 : 424,810.20 = 269,428.70 : x
  2. Step 2: Convert to fraction form
    283,206.80/424,810.20 = 269,428.70/x
  3. Step 3: Cross multiply
    283,206.80x = 424,810.20 × 269,428.70
  4. Step 4: Simplify right side
    283,206.80x = 114,456,059,932.74
  5. Step 5: Solve for x
    x = 114,456,059,932.74/283,206.80
  6. Step 6: Final answer
    x = 404,143.05

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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.