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Finding the Fourth Proportional to 312,034.30, 468,314.03 and 292,351.30

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Solution

The fourth proportional to 312,034.30, 468,314.03 and 292,351.30 is: 438,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.30 : 468,314.03 = 292,351.30 : x
  2. Step 2: Convert to fraction form
    312,034.30/468,314.03 = 292,351.30/x
  3. Step 3: Cross multiply
    312,034.30x = 468,314.03 × 292,351.30
  4. Step 4: Simplify right side
    312,034.30x = 136,912,214,016.98
  5. Step 5: Solve for x
    x = 136,912,214,016.98/312,034.30
  6. Step 6: Final answer
    x = 438,772.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.