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Finding the Fourth Proportional to 388,310.78, 535,743.78 and 218,512.10

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Solution

The fourth proportional to 388,310.78, 535,743.78 and 218,512.10 is: 301,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,310.78 : 535,743.78 = 218,512.10 : x
  2. Step 2: Convert to fraction form
    388,310.78/535,743.78 = 218,512.10/x
  3. Step 3: Cross multiply
    388,310.78x = 535,743.78 × 218,512.10
  4. Step 4: Simplify right side
    388,310.78x = 117,066,498,429.74
  5. Step 5: Solve for x
    x = 117,066,498,429.74/388,310.78
  6. Step 6: Final answer
    x = 301,476.30

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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.