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Finding the Fourth Proportional to 390,609, 539,040.96 and 211,761

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Solution

The fourth proportional to 390,609, 539,040.96 and 211,761 is: 292,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,609 : 539,040.96 = 211,761 : x
  2. Step 2: Convert to fraction form
    390,609/539,040.96 = 211,761/x
  3. Step 3: Cross multiply
    390,609x = 539,040.96 × 211,761
  4. Step 4: Simplify right side
    390,609x = 114,147,852,730.56
  5. Step 5: Solve for x
    x = 114,147,852,730.56/390,609
  6. Step 6: Final answer
    x = 292,230.47

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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.