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Finding the Fourth Proportional to 388,286.51, 535,834.02 and 216,206.54

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Solution

The fourth proportional to 388,286.51, 535,834.02 and 216,206.54 is: 298,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,286.51 : 535,834.02 = 216,206.54 : x
  2. Step 2: Convert to fraction form
    388,286.51/535,834.02 = 216,206.54/x
  3. Step 3: Cross multiply
    388,286.51x = 535,834.02 × 216,206.54
  4. Step 4: Simplify right side
    388,286.51x = 115,850,816,799.32
  5. Step 5: Solve for x
    x = 115,850,816,799.32/388,286.51
  6. Step 6: Final answer
    x = 298,364.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.