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Finding the Fourth Proportional to 321,520.97, 443,718.86 and 178,281.02

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Solution

The fourth proportional to 321,520.97, 443,718.86 and 178,281.02 is: 246,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,520.97 : 443,718.86 = 178,281.02 : x
  2. Step 2: Convert to fraction form
    321,520.97/443,718.86 = 178,281.02/x
  3. Step 3: Cross multiply
    321,520.97x = 443,718.86 × 178,281.02
  4. Step 4: Simplify right side
    321,520.97x = 79,106,651,171.93
  5. Step 5: Solve for x
    x = 79,106,651,171.93/321,520.97
  6. Step 6: Final answer
    x = 246,038.85

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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.