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Finding the Fourth Proportional to 312,388.35, 468,485.47 and 112,682.78

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Solution

The fourth proportional to 312,388.35, 468,485.47 and 112,682.78 is: 168,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,388.35 : 468,485.47 = 112,682.78 : x
  2. Step 2: Convert to fraction form
    312,388.35/468,485.47 = 112,682.78/x
  3. Step 3: Cross multiply
    312,388.35x = 468,485.47 × 112,682.78
  4. Step 4: Simplify right side
    312,388.35x = 52,790,246,680.88
  5. Step 5: Solve for x
    x = 52,790,246,680.88/312,388.35
  6. Step 6: Final answer
    x = 168,989.17

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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.