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Finding the Fourth Proportional to 315,034.81, 434,748.14 and 171,791.17

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Solution

The fourth proportional to 315,034.81, 434,748.14 and 171,791.17 is: 237,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,034.81 : 434,748.14 = 171,791.17 : x
  2. Step 2: Convert to fraction form
    315,034.81/434,748.14 = 171,791.17/x
  3. Step 3: Cross multiply
    315,034.81x = 434,748.14 × 171,791.17
  4. Step 4: Simplify right side
    315,034.81x = 74,685,891,625.92
  5. Step 5: Solve for x
    x = 74,685,891,625.92/315,034.81
  6. Step 6: Final answer
    x = 237,071.87

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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.