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Finding the Fourth Proportional to 206,711.40, 309,375.90 and 144,503.40

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Solution

The fourth proportional to 206,711.40, 309,375.90 and 144,503.40 is: 216,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,711.40 : 309,375.90 = 144,503.40 : x
  2. Step 2: Convert to fraction form
    206,711.40/309,375.90 = 144,503.40/x
  3. Step 3: Cross multiply
    206,711.40x = 309,375.90 × 144,503.40
  4. Step 4: Simplify right side
    206,711.40x = 44,705,869,428.06
  5. Step 5: Solve for x
    x = 44,705,869,428.06/206,711.40
  6. Step 6: Final answer
    x = 216,271.91

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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.