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Finding the Fourth Proportional to 390,150, 538,407 and 211,302

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Solution

The fourth proportional to 390,150, 538,407 and 211,302 is: 291,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,150 : 538,407 = 211,302 : x
  2. Step 2: Convert to fraction form
    390,150/538,407 = 211,302/x
  3. Step 3: Cross multiply
    390,150x = 538,407 × 211,302
  4. Step 4: Simplify right side
    390,150x = 113,766,475,914
  5. Step 5: Solve for x
    x = 113,766,475,914/390,150
  6. Step 6: Final answer
    x = 291,596.76

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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.