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Finding the Fourth Proportional to 280,471.20, 420,709.20 and 93,482.70

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Solution

The fourth proportional to 280,471.20, 420,709.20 and 93,482.70 is: 140,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,471.20 : 420,709.20 = 93,482.70 : x
  2. Step 2: Convert to fraction form
    280,471.20/420,709.20 = 93,482.70/x
  3. Step 3: Cross multiply
    280,471.20x = 420,709.20 × 93,482.70
  4. Step 4: Simplify right side
    280,471.20x = 39,329,031,930.84
  5. Step 5: Solve for x
    x = 39,329,031,930.84/280,471.20
  6. Step 6: Final answer
    x = 140,224.85

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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.