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Finding the Fourth Proportional to 388,213.62, 535,721.63 and 218,414.94

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Solution

The fourth proportional to 388,213.62, 535,721.63 and 218,414.94 is: 301,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,213.62 : 535,721.63 = 218,414.94 : x
  2. Step 2: Convert to fraction form
    388,213.62/535,721.63 = 218,414.94/x
  3. Step 3: Cross multiply
    388,213.62x = 535,721.63 × 218,414.94
  4. Step 4: Simplify right side
    388,213.62x = 117,009,607,673.15
  5. Step 5: Solve for x
    x = 117,009,607,673.15/388,213.62
  6. Step 6: Final answer
    x = 301,405.21

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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.