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Finding the Fourth Proportional to 280,385.28, 420,264.41 and 147,279.60

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Solution

The fourth proportional to 280,385.28, 420,264.41 and 147,279.60 is: 220,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,385.28 : 420,264.41 = 147,279.60 : x
  2. Step 2: Convert to fraction form
    280,385.28/420,264.41 = 147,279.60/x
  3. Step 3: Cross multiply
    280,385.28x = 420,264.41 × 147,279.60
  4. Step 4: Simplify right side
    280,385.28x = 61,896,374,199.04
  5. Step 5: Solve for x
    x = 61,896,374,199.04/280,385.28
  6. Step 6: Final answer
    x = 220,754.72

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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.