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Finding the Fourth Proportional to 312,275, 430,997.88 and 178,139

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Solution

The fourth proportional to 312,275, 430,997.88 and 178,139 is: 245,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,275 : 430,997.88 = 178,139 : x
  2. Step 2: Convert to fraction form
    312,275/430,997.88 = 178,139/x
  3. Step 3: Cross multiply
    312,275x = 430,997.88 × 178,139
  4. Step 4: Simplify right side
    312,275x = 76,777,531,345.32
  5. Step 5: Solve for x
    x = 76,777,531,345.32/312,275
  6. Step 6: Final answer
    x = 245,865.12

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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.