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Finding the Fourth Proportional to 659,633.22, 989,251.92 and 280,551.06

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Solution

The fourth proportional to 659,633.22, 989,251.92 and 280,551.06 is: 420,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,633.22 : 989,251.92 = 280,551.06 : x
  2. Step 2: Convert to fraction form
    659,633.22/989,251.92 = 280,551.06/x
  3. Step 3: Cross multiply
    659,633.22x = 989,251.92 × 280,551.06
  4. Step 4: Simplify right side
    659,633.22x = 277,535,674,763.04
  5. Step 5: Solve for x
    x = 277,535,674,763.04/659,633.22
  6. Step 6: Final answer
    x = 420,742.42

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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.