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Finding the Fourth Proportional to 206,876.10, 310,314.15 and 146,514.90

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Solution

The fourth proportional to 206,876.10, 310,314.15 and 146,514.90 is: 219,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.10 : 310,314.15 = 146,514.90 : x
  2. Step 2: Convert to fraction form
    206,876.10/310,314.15 = 146,514.90/x
  3. Step 3: Cross multiply
    206,876.10x = 310,314.15 × 146,514.90
  4. Step 4: Simplify right side
    206,876.10x = 45,465,646,655.84
  5. Step 5: Solve for x
    x = 45,465,646,655.84/206,876.10
  6. Step 6: Final answer
    x = 219,772.35

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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.