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Finding the Fourth Proportional to 390,037, 538,251.08 and 211,189

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Solution

The fourth proportional to 390,037, 538,251.08 and 211,189 is: 291,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,037 : 538,251.08 = 211,189 : x
  2. Step 2: Convert to fraction form
    390,037/538,251.08 = 211,189/x
  3. Step 3: Cross multiply
    390,037x = 538,251.08 × 211,189
  4. Step 4: Simplify right side
    390,037x = 113,672,707,334.12
  5. Step 5: Solve for x
    x = 113,672,707,334.12/390,037
  6. Step 6: Final answer
    x = 291,440.83

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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.