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Finding the Fourth Proportional to 801,689.84, 1,202,211.84 and 289,209.32

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Solution

The fourth proportional to 801,689.84, 1,202,211.84 and 289,209.32 is: 433,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,689.84 : 1,202,211.84 = 289,209.32 : x
  2. Step 2: Convert to fraction form
    801,689.84/1,202,211.84 = 289,209.32/x
  3. Step 3: Cross multiply
    801,689.84x = 1,202,211.84 × 289,209.32
  4. Step 4: Simplify right side
    801,689.84x = 347,690,868,742.35
  5. Step 5: Solve for x
    x = 347,690,868,742.35/801,689.84
  6. Step 6: Final answer
    x = 433,697.49

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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.