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Finding the Fourth Proportional to 312,918.66, 468,894.88 and 211,318.54

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Solution

The fourth proportional to 312,918.66, 468,894.88 and 211,318.54 is: 316,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,918.66 : 468,894.88 = 211,318.54 : x
  2. Step 2: Convert to fraction form
    312,918.66/468,894.88 = 211,318.54/x
  3. Step 3: Cross multiply
    312,918.66x = 468,894.88 × 211,318.54
  4. Step 4: Simplify right side
    312,918.66x = 99,086,181,455.08
  5. Step 5: Solve for x
    x = 99,086,181,455.08/312,918.66
  6. Step 6: Final answer
    x = 316,651.56

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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.