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Finding the Fourth Proportional to 282,686.80, 424,030.20 and 206,579.20

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Solution

The fourth proportional to 282,686.80, 424,030.20 and 206,579.20 is: 309,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,686.80 : 424,030.20 = 206,579.20 : x
  2. Step 2: Convert to fraction form
    282,686.80/424,030.20 = 206,579.20/x
  3. Step 3: Cross multiply
    282,686.80x = 424,030.20 × 206,579.20
  4. Step 4: Simplify right side
    282,686.80x = 87,595,819,491.84
  5. Step 5: Solve for x
    x = 87,595,819,491.84/282,686.80
  6. Step 6: Final answer
    x = 309,868.80

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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.