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Finding the Fourth Proportional to 312,194.52, 430,876.26 and 176,283

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Solution

The fourth proportional to 312,194.52, 430,876.26 and 176,283 is: 243,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,194.52 : 430,876.26 = 176,283 : x
  2. Step 2: Convert to fraction form
    312,194.52/430,876.26 = 176,283/x
  3. Step 3: Cross multiply
    312,194.52x = 430,876.26 × 176,283
  4. Step 4: Simplify right side
    312,194.52x = 75,956,159,741.58
  5. Step 5: Solve for x
    x = 75,956,159,741.58/312,194.52
  6. Step 6: Final answer
    x = 243,297.54

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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.