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Finding the Fourth Proportional to 342,576.17, 472,743.05 and 189,614.65

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Solution

The fourth proportional to 342,576.17, 472,743.05 and 189,614.65 is: 261,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,576.17 : 472,743.05 = 189,614.65 : x
  2. Step 2: Convert to fraction form
    342,576.17/472,743.05 = 189,614.65/x
  3. Step 3: Cross multiply
    342,576.17x = 472,743.05 × 189,614.65
  4. Step 4: Simplify right side
    342,576.17x = 89,639,007,017.61
  5. Step 5: Solve for x
    x = 89,639,007,017.61/342,576.17
  6. Step 6: Final answer
    x = 261,661.54

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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.