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Finding the Fourth Proportional to 390,667, 539,120.46 and 211,819

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Solution

The fourth proportional to 390,667, 539,120.46 and 211,819 is: 292,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,667 : 539,120.46 = 211,819 : x
  2. Step 2: Convert to fraction form
    390,667/539,120.46 = 211,819/x
  3. Step 3: Cross multiply
    390,667x = 539,120.46 × 211,819
  4. Step 4: Simplify right side
    390,667x = 114,195,956,716.74
  5. Step 5: Solve for x
    x = 114,195,956,716.74/390,667
  6. Step 6: Final answer
    x = 292,310.22

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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.