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Finding the Fourth Proportional to 321,508.89, 443,681.51 and 178,265.25

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Solution

The fourth proportional to 321,508.89, 443,681.51 and 178,265.25 is: 246,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,508.89 : 443,681.51 = 178,265.25 : x
  2. Step 2: Convert to fraction form
    321,508.89/443,681.51 = 178,265.25/x
  3. Step 3: Cross multiply
    321,508.89x = 443,681.51 × 178,265.25
  4. Step 4: Simplify right side
    321,508.89x = 79,092,994,409.20
  5. Step 5: Solve for x
    x = 79,092,994,409.20/321,508.89
  6. Step 6: Final answer
    x = 246,005.62

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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.