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Finding the Fourth Proportional to 816,238.80, 1,224,356.64 and 217,200

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Solution

The fourth proportional to 816,238.80, 1,224,356.64 and 217,200 is: 325,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,238.80 : 1,224,356.64 = 217,200 : x
  2. Step 2: Convert to fraction form
    816,238.80/1,224,356.64 = 217,200/x
  3. Step 3: Cross multiply
    816,238.80x = 1,224,356.64 × 217,200
  4. Step 4: Simplify right side
    816,238.80x = 265,930,262,208.00
  5. Step 5: Solve for x
    x = 265,930,262,208.00/816,238.80
  6. Step 6: Final answer
    x = 325,799.58

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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.