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Finding the Fourth Proportional to 321,142.44, 442,927.08 and 219,250.02

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Solution

The fourth proportional to 321,142.44, 442,927.08 and 219,250.02 is: 302,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,142.44 : 442,927.08 = 219,250.02 : x
  2. Step 2: Convert to fraction form
    321,142.44/442,927.08 = 219,250.02/x
  3. Step 3: Cross multiply
    321,142.44x = 442,927.08 × 219,250.02
  4. Step 4: Simplify right side
    321,142.44x = 97,111,771,148.54
  5. Step 5: Solve for x
    x = 97,111,771,148.54/321,142.44
  6. Step 6: Final answer
    x = 302,394.70

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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.