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Finding the Fourth Proportional to 315,234.56, 472,990.46 and 165,439.75

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Solution

The fourth proportional to 315,234.56, 472,990.46 and 165,439.75 is: 248,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,234.56 : 472,990.46 = 165,439.75 : x
  2. Step 2: Convert to fraction form
    315,234.56/472,990.46 = 165,439.75/x
  3. Step 3: Cross multiply
    315,234.56x = 472,990.46 × 165,439.75
  4. Step 4: Simplify right side
    315,234.56x = 78,251,421,445.11
  5. Step 5: Solve for x
    x = 78,251,421,445.11/315,234.56
  6. Step 6: Final answer
    x = 248,232.37

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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.