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Finding the Fourth Proportional to 388,198.94, 535,726.55 and 211,401.17

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Solution

The fourth proportional to 388,198.94, 535,726.55 and 211,401.17 is: 291,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,198.94 : 535,726.55 = 211,401.17 : x
  2. Step 2: Convert to fraction form
    388,198.94/535,726.55 = 211,401.17/x
  3. Step 3: Cross multiply
    388,198.94x = 535,726.55 × 211,401.17
  4. Step 4: Simplify right side
    388,198.94x = 113,253,217,319.93
  5. Step 5: Solve for x
    x = 113,253,217,319.93/388,198.94
  6. Step 6: Final answer
    x = 291,740.15

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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.