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Finding the Fourth Proportional to 208,387.80, 311,691.51 and 173,984.40

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Solution

The fourth proportional to 208,387.80, 311,691.51 and 173,984.40 is: 260,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,387.80 : 311,691.51 = 173,984.40 : x
  2. Step 2: Convert to fraction form
    208,387.80/311,691.51 = 173,984.40/x
  3. Step 3: Cross multiply
    208,387.80x = 311,691.51 × 173,984.40
  4. Step 4: Simplify right side
    208,387.80x = 54,229,460,352.44
  5. Step 5: Solve for x
    x = 54,229,460,352.44/208,387.80
  6. Step 6: Final answer
    x = 260,233.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.