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Finding the Fourth Proportional to 321,278.40, 443,366.76 and 178,040.82

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Solution

The fourth proportional to 321,278.40, 443,366.76 and 178,040.82 is: 245,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,278.40 : 443,366.76 = 178,040.82 : x
  2. Step 2: Convert to fraction form
    321,278.40/443,366.76 = 178,040.82/x
  3. Step 3: Cross multiply
    321,278.40x = 443,366.76 × 178,040.82
  4. Step 4: Simplify right side
    321,278.40x = 78,937,381,511.14
  5. Step 5: Solve for x
    x = 78,937,381,511.14/321,278.40
  6. Step 6: Final answer
    x = 245,697.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.