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Finding the Fourth Proportional to 390,659, 539,109.42 and 211,811

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Solution

The fourth proportional to 390,659, 539,109.42 and 211,811 is: 292,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,659 : 539,109.42 = 211,811 : x
  2. Step 2: Convert to fraction form
    390,659/539,109.42 = 211,811/x
  3. Step 3: Cross multiply
    390,659x = 539,109.42 × 211,811
  4. Step 4: Simplify right side
    390,659x = 114,189,305,359.62
  5. Step 5: Solve for x
    x = 114,189,305,359.62/390,659
  6. Step 6: Final answer
    x = 292,299.18

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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.