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Finding the Fourth Proportional to 206,005.60, 309,008.40 and 146,519.20

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Solution

The fourth proportional to 206,005.60, 309,008.40 and 146,519.20 is: 219,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,005.60 : 309,008.40 = 146,519.20 : x
  2. Step 2: Convert to fraction form
    206,005.60/309,008.40 = 146,519.20/x
  3. Step 3: Cross multiply
    206,005.60x = 309,008.40 × 146,519.20
  4. Step 4: Simplify right side
    206,005.60x = 45,275,663,561.28
  5. Step 5: Solve for x
    x = 45,275,663,561.28/206,005.60
  6. Step 6: Final answer
    x = 219,778.80

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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.