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Finding the Fourth Proportional to 321,280.90, 443,370.21 and 178,043.32

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Solution

The fourth proportional to 321,280.90, 443,370.21 and 178,043.32 is: 245,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,280.90 : 443,370.21 = 178,043.32 : x
  2. Step 2: Convert to fraction form
    321,280.90/443,370.21 = 178,043.32/x
  3. Step 3: Cross multiply
    321,280.90x = 443,370.21 × 178,043.32
  4. Step 4: Simplify right side
    321,280.90x = 78,939,104,177.50
  5. Step 5: Solve for x
    x = 78,939,104,177.50/321,280.90
  6. Step 6: Final answer
    x = 245,701.20

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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.