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Finding the Fourth Proportional to 431,234.46, 646,976.52 and 178,468.32

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Solution

The fourth proportional to 431,234.46, 646,976.52 and 178,468.32 is: 267,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,234.46 : 646,976.52 = 178,468.32 : x
  2. Step 2: Convert to fraction form
    431,234.46/646,976.52 = 178,468.32/x
  3. Step 3: Cross multiply
    431,234.46x = 646,976.52 × 178,468.32
  4. Step 4: Simplify right side
    431,234.46x = 115,464,812,603.85
  5. Step 5: Solve for x
    x = 115,464,812,603.85/431,234.46
  6. Step 6: Final answer
    x = 267,754.14

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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.