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Finding the Fourth Proportional to 312,880.65, 431,772.69 and 176,941.29

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Solution

The fourth proportional to 312,880.65, 431,772.69 and 176,941.29 is: 244,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,880.65 : 431,772.69 = 176,941.29 : x
  2. Step 2: Convert to fraction form
    312,880.65/431,772.69 = 176,941.29/x
  3. Step 3: Cross multiply
    312,880.65x = 431,772.69 × 176,941.29
  4. Step 4: Simplify right side
    312,880.65x = 76,398,414,648.49
  5. Step 5: Solve for x
    x = 76,398,414,648.49/312,880.65
  6. Step 6: Final answer
    x = 244,177.50

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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.