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Finding the Fourth Proportional to 206,685, 309,948.78 and 122,468.92

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Solution

The fourth proportional to 206,685, 309,948.78 and 122,468.92 is: 183,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,685 : 309,948.78 = 122,468.92 : x
  2. Step 2: Convert to fraction form
    206,685/309,948.78 = 122,468.92/x
  3. Step 3: Cross multiply
    206,685x = 309,948.78 × 122,468.92
  4. Step 4: Simplify right side
    206,685x = 37,959,092,341.92
  5. Step 5: Solve for x
    x = 37,959,092,341.92/206,685
  6. Step 6: Final answer
    x = 183,656.74

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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.