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Finding the Fourth Proportional to 290,826.32, 436,158.84 and 80,448.08

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Solution

The fourth proportional to 290,826.32, 436,158.84 and 80,448.08 is: 120,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,826.32 : 436,158.84 = 80,448.08 : x
  2. Step 2: Convert to fraction form
    290,826.32/436,158.84 = 80,448.08/x
  3. Step 3: Cross multiply
    290,826.32x = 436,158.84 × 80,448.08
  4. Step 4: Simplify right side
    290,826.32x = 35,088,141,253.03
  5. Step 5: Solve for x
    x = 35,088,141,253.03/290,826.32
  6. Step 6: Final answer
    x = 120,649.81

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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.