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Finding the Fourth Proportional to 390,378, 538,722 and 211,530

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Solution

The fourth proportional to 390,378, 538,722 and 211,530 is: 291,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,378 : 538,722 = 211,530 : x
  2. Step 2: Convert to fraction form
    390,378/538,722 = 211,530/x
  3. Step 3: Cross multiply
    390,378x = 538,722 × 211,530
  4. Step 4: Simplify right side
    390,378x = 113,955,864,660
  5. Step 5: Solve for x
    x = 113,955,864,660/390,378
  6. Step 6: Final answer
    x = 291,911.60

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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.