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Finding the Fourth Proportional to 312,968.14, 431,890.94 and 176,997

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Solution

The fourth proportional to 312,968.14, 431,890.94 and 176,997 is: 244,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,968.14 : 431,890.94 = 176,997 : x
  2. Step 2: Convert to fraction form
    312,968.14/431,890.94 = 176,997/x
  3. Step 3: Cross multiply
    312,968.14x = 431,890.94 × 176,997
  4. Step 4: Simplify right side
    312,968.14x = 76,443,400,707.18
  5. Step 5: Solve for x
    x = 76,443,400,707.18/312,968.14
  6. Step 6: Final answer
    x = 244,252.98

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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.