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Finding the Fourth Proportional to 290,243.25, 434,849.25 and 247,691.52

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Solution

The fourth proportional to 290,243.25, 434,849.25 and 247,691.52 is: 371,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,243.25 : 434,849.25 = 247,691.52 : x
  2. Step 2: Convert to fraction form
    290,243.25/434,849.25 = 247,691.52/x
  3. Step 3: Cross multiply
    290,243.25x = 434,849.25 × 247,691.52
  4. Step 4: Simplify right side
    290,243.25x = 107,708,471,703.36
  5. Step 5: Solve for x
    x = 107,708,471,703.36/290,243.25
  6. Step 6: Final answer
    x = 371,097.25

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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.