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Finding the Fourth Proportional to 206,000.10, 309,000.15 and 146,513.70

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Solution

The fourth proportional to 206,000.10, 309,000.15 and 146,513.70 is: 219,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,000.10 : 309,000.15 = 146,513.70 : x
  2. Step 2: Convert to fraction form
    206,000.10/309,000.15 = 146,513.70/x
  3. Step 3: Cross multiply
    206,000.10x = 309,000.15 × 146,513.70
  4. Step 4: Simplify right side
    206,000.10x = 45,272,755,277.06
  5. Step 5: Solve for x
    x = 45,272,755,277.06/206,000.10
  6. Step 6: Final answer
    x = 219,770.55

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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.