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Finding the Fourth Proportional to 280,305.22, 420,524.78 and 90,765.78

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Solution

The fourth proportional to 280,305.22, 420,524.78 and 90,765.78 is: 136,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,305.22 : 420,524.78 = 90,765.78 : x
  2. Step 2: Convert to fraction form
    280,305.22/420,524.78 = 90,765.78/x
  3. Step 3: Cross multiply
    280,305.22x = 420,524.78 × 90,765.78
  4. Step 4: Simplify right side
    280,305.22x = 38,169,259,666.03
  5. Step 5: Solve for x
    x = 38,169,259,666.03/280,305.22
  6. Step 6: Final answer
    x = 136,170.35

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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.