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Finding the Fourth Proportional to 312,394.42, 431,103.57 and 176,421.75

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Solution

The fourth proportional to 312,394.42, 431,103.57 and 176,421.75 is: 243,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,394.42 : 431,103.57 = 176,421.75 : x
  2. Step 2: Convert to fraction form
    312,394.42/431,103.57 = 176,421.75/x
  3. Step 3: Cross multiply
    312,394.42x = 431,103.57 × 176,421.75
  4. Step 4: Simplify right side
    312,394.42x = 76,056,043,972.43
  5. Step 5: Solve for x
    x = 76,056,043,972.43/312,394.42
  6. Step 6: Final answer
    x = 243,461.59

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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.