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Finding the Fourth Proportional to 280,988.68, 421,482.54 and 131,178.76

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Solution

The fourth proportional to 280,988.68, 421,482.54 and 131,178.76 is: 196,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,988.68 : 421,482.54 = 131,178.76 : x
  2. Step 2: Convert to fraction form
    280,988.68/421,482.54 = 131,178.76/x
  3. Step 3: Cross multiply
    280,988.68x = 421,482.54 × 131,178.76
  4. Step 4: Simplify right side
    280,988.68x = 55,289,556,958.85
  5. Step 5: Solve for x
    x = 55,289,556,958.85/280,988.68
  6. Step 6: Final answer
    x = 196,767.92

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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.