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Finding the Fourth Proportional to 321,728.72, 443,970.82 and 176,531.31

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Solution

The fourth proportional to 321,728.72, 443,970.82 and 176,531.31 is: 243,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,728.72 : 443,970.82 = 176,531.31 : x
  2. Step 2: Convert to fraction form
    321,728.72/443,970.82 = 176,531.31/x
  3. Step 3: Cross multiply
    321,728.72x = 443,970.82 × 176,531.31
  4. Step 4: Simplify right side
    321,728.72x = 78,374,750,455.18
  5. Step 5: Solve for x
    x = 78,374,750,455.18/321,728.72
  6. Step 6: Final answer
    x = 243,605.08

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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.