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Finding the Fourth Proportional to 321,503.31, 442,841.18 and 224,536.59

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Solution

The fourth proportional to 321,503.31, 442,841.18 and 224,536.59 is: 309,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,503.31 : 442,841.18 = 224,536.59 : x
  2. Step 2: Convert to fraction form
    321,503.31/442,841.18 = 224,536.59/x
  3. Step 3: Cross multiply
    321,503.31x = 442,841.18 × 224,536.59
  4. Step 4: Simplify right side
    321,503.31x = 99,434,047,346.09
  5. Step 5: Solve for x
    x = 99,434,047,346.09/321,503.31
  6. Step 6: Final answer
    x = 309,278.46

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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.