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Finding the Fourth Proportional to 321,279.40, 443,368.14 and 178,041.82

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Solution

The fourth proportional to 321,279.40, 443,368.14 and 178,041.82 is: 245,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,279.40 : 443,368.14 = 178,041.82 : x
  2. Step 2: Convert to fraction form
    321,279.40/443,368.14 = 178,041.82/x
  3. Step 3: Cross multiply
    321,279.40x = 443,368.14 × 178,041.82
  4. Step 4: Simplify right side
    321,279.40x = 78,938,070,575.61
  5. Step 5: Solve for x
    x = 78,938,070,575.61/321,279.40
  6. Step 6: Final answer
    x = 245,699.13

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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.