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Finding the Fourth Proportional to 321,264.64, 443,370.56 and 178,038.40

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Solution

The fourth proportional to 321,264.64, 443,370.56 and 178,038.40 is: 245,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,264.64 : 443,370.56 = 178,038.40 : x
  2. Step 2: Convert to fraction form
    321,264.64/443,370.56 = 178,038.40/x
  3. Step 3: Cross multiply
    321,264.64x = 443,370.56 × 178,038.40
  4. Step 4: Simplify right side
    321,264.64x = 78,936,985,109.50
  5. Step 5: Solve for x
    x = 78,936,985,109.50/321,264.64
  6. Step 6: Final answer
    x = 245,707.04

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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.