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Finding the Fourth Proportional to 453,502.20, 680,228.10 and 137,934.30

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Solution

The fourth proportional to 453,502.20, 680,228.10 and 137,934.30 is: 206,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,502.20 : 680,228.10 = 137,934.30 : x
  2. Step 2: Convert to fraction form
    453,502.20/680,228.10 = 137,934.30/x
  3. Step 3: Cross multiply
    453,502.20x = 680,228.10 × 137,934.30
  4. Step 4: Simplify right side
    453,502.20x = 93,826,786,813.83
  5. Step 5: Solve for x
    x = 93,826,786,813.83/453,502.20
  6. Step 6: Final answer
    x = 206,893.79

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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.