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Finding the Fourth Proportional to 290,824.32, 436,155.84 and 80,446.08

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Solution

The fourth proportional to 290,824.32, 436,155.84 and 80,446.08 is: 120,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,824.32 : 436,155.84 = 80,446.08 : x
  2. Step 2: Convert to fraction form
    290,824.32/436,155.84 = 80,446.08/x
  3. Step 3: Cross multiply
    290,824.32x = 436,155.84 × 80,446.08
  4. Step 4: Simplify right side
    290,824.32x = 35,087,027,597.11
  5. Step 5: Solve for x
    x = 35,087,027,597.11/290,824.32
  6. Step 6: Final answer
    x = 120,646.81

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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.