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Finding the Fourth Proportional to 321,089.48, 443,097.60 and 177,849.08

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Solution

The fourth proportional to 321,089.48, 443,097.60 and 177,849.08 is: 245,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,089.48 : 443,097.60 = 177,849.08 : x
  2. Step 2: Convert to fraction form
    321,089.48/443,097.60 = 177,849.08/x
  3. Step 3: Cross multiply
    321,089.48x = 443,097.60 × 177,849.08
  4. Step 4: Simplify right side
    321,089.48x = 78,804,500,510.21
  5. Step 5: Solve for x
    x = 78,804,500,510.21/321,089.48
  6. Step 6: Final answer
    x = 245,428.47

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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.