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Finding the Fourth Proportional to 543,456.30, 815,325.39 and 206,502.78

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Solution

The fourth proportional to 543,456.30, 815,325.39 and 206,502.78 is: 309,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,456.30 : 815,325.39 = 206,502.78 : x
  2. Step 2: Convert to fraction form
    543,456.30/815,325.39 = 206,502.78/x
  3. Step 3: Cross multiply
    543,456.30x = 815,325.39 × 206,502.78
  4. Step 4: Simplify right side
    543,456.30x = 168,366,959,639.58
  5. Step 5: Solve for x
    x = 168,366,959,639.58/543,456.30
  6. Step 6: Final answer
    x = 309,807.72

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1.5x scale

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.