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Finding the Fourth Proportional to 312,638.73, 431,512.28 and 176,751.30

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Solution

The fourth proportional to 312,638.73, 431,512.28 and 176,751.30 is: 243,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,638.73 : 431,512.28 = 176,751.30 : x
  2. Step 2: Convert to fraction form
    312,638.73/431,512.28 = 176,751.30/x
  3. Step 3: Cross multiply
    312,638.73x = 431,512.28 × 176,751.30
  4. Step 4: Simplify right side
    312,638.73x = 76,270,356,455.96
  5. Step 5: Solve for x
    x = 76,270,356,455.96/312,638.73
  6. Step 6: Final answer
    x = 243,956.84

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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.