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Finding the Fourth Proportional to 605,301.76, 906,725.44 and 280,633.76

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Solution

The fourth proportional to 605,301.76, 906,725.44 and 280,633.76 is: 420,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,301.76 : 906,725.44 = 280,633.76 : x
  2. Step 2: Convert to fraction form
    605,301.76/906,725.44 = 280,633.76/x
  3. Step 3: Cross multiply
    605,301.76x = 906,725.44 × 280,633.76
  4. Step 4: Simplify right side
    605,301.76x = 254,457,769,514.85
  5. Step 5: Solve for x
    x = 254,457,769,514.85/605,301.76
  6. Step 6: Final answer
    x = 420,381.68

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1.5x scale

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.