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Finding the Fourth Proportional to 321,283.14, 443,373.21 and 178,045.50

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Solution

The fourth proportional to 321,283.14, 443,373.21 and 178,045.50 is: 245,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,283.14 : 443,373.21 = 178,045.50 : x
  2. Step 2: Convert to fraction form
    321,283.14/443,373.21 = 178,045.50/x
  3. Step 3: Cross multiply
    321,283.14x = 443,373.21 × 178,045.50
  4. Step 4: Simplify right side
    321,283.14x = 78,940,604,861.06
  5. Step 5: Solve for x
    x = 78,940,604,861.06/321,283.14
  6. Step 6: Final answer
    x = 245,704.16

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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.