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Finding the Fourth Proportional to 312,273, 430,995.12 and 178,137

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Solution

The fourth proportional to 312,273, 430,995.12 and 178,137 is: 245,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,273 : 430,995.12 = 178,137 : x
  2. Step 2: Convert to fraction form
    312,273/430,995.12 = 178,137/x
  3. Step 3: Cross multiply
    312,273x = 430,995.12 × 178,137
  4. Step 4: Simplify right side
    312,273x = 76,776,177,691.44
  5. Step 5: Solve for x
    x = 76,776,177,691.44/312,273
  6. Step 6: Final answer
    x = 245,862.36

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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.