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Finding the Fourth Proportional to 206,347.56, 309,521.40 and 136,210.44

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Solution

The fourth proportional to 206,347.56, 309,521.40 and 136,210.44 is: 204,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.56 : 309,521.40 = 136,210.44 : x
  2. Step 2: Convert to fraction form
    206,347.56/309,521.40 = 136,210.44/x
  3. Step 3: Cross multiply
    206,347.56x = 309,521.40 × 136,210.44
  4. Step 4: Simplify right side
    206,347.56x = 42,160,046,083.42
  5. Step 5: Solve for x
    x = 42,160,046,083.42/206,347.56
  6. Step 6: Final answer
    x = 204,315.70

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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.