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Finding the Fourth Proportional to 390,390, 538,738.20 and 211,542

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Solution

The fourth proportional to 390,390, 538,738.20 and 211,542 is: 291,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,390 : 538,738.20 = 211,542 : x
  2. Step 2: Convert to fraction form
    390,390/538,738.20 = 211,542/x
  3. Step 3: Cross multiply
    390,390x = 538,738.20 × 211,542
  4. Step 4: Simplify right side
    390,390x = 113,965,756,304.40
  5. Step 5: Solve for x
    x = 113,965,756,304.40/390,390
  6. Step 6: Final answer
    x = 291,927.96

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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.