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Finding the Fourth Proportional to 280,419.84, 420,279.84 and 140,218.56

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Solution

The fourth proportional to 280,419.84, 420,279.84 and 140,218.56 is: 210,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,419.84 : 420,279.84 = 140,218.56 : x
  2. Step 2: Convert to fraction form
    280,419.84/420,279.84 = 140,218.56/x
  3. Step 3: Cross multiply
    280,419.84x = 420,279.84 × 140,218.56
  4. Step 4: Simplify right side
    280,419.84x = 58,931,033,961.83
  5. Step 5: Solve for x
    x = 58,931,033,961.83/280,419.84
  6. Step 6: Final answer
    x = 210,152.87

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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.