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Finding the Fourth Proportional to 312,959.48, 431,838.62 and 175,137.74

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Solution

The fourth proportional to 312,959.48, 431,838.62 and 175,137.74 is: 241,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,959.48 : 431,838.62 = 175,137.74 : x
  2. Step 2: Convert to fraction form
    312,959.48/431,838.62 = 175,137.74/x
  3. Step 3: Cross multiply
    312,959.48x = 431,838.62 × 175,137.74
  4. Step 4: Simplify right side
    312,959.48x = 75,631,239,951.52
  5. Step 5: Solve for x
    x = 75,631,239,951.52/312,959.48
  6. Step 6: Final answer
    x = 241,664.64

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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.