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Finding the Fourth Proportional to 390,198, 538,473.24 and 211,350

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Solution

The fourth proportional to 390,198, 538,473.24 and 211,350 is: 291,663

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,198 : 538,473.24 = 211,350 : x
  2. Step 2: Convert to fraction form
    390,198/538,473.24 = 211,350/x
  3. Step 3: Cross multiply
    390,198x = 538,473.24 × 211,350
  4. Step 4: Simplify right side
    390,198x = 113,806,319,274
  5. Step 5: Solve for x
    x = 113,806,319,274/390,198
  6. Step 6: Final answer
    x = 291,663

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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.