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Finding the Fourth Proportional to 487,193.96, 729,770.34 and 309,609.56

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Solution

The fourth proportional to 487,193.96, 729,770.34 and 309,609.56 is: 463,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,193.96 : 729,770.34 = 309,609.56 : x
  2. Step 2: Convert to fraction form
    487,193.96/729,770.34 = 309,609.56/x
  3. Step 3: Cross multiply
    487,193.96x = 729,770.34 × 309,609.56
  4. Step 4: Simplify right side
    487,193.96x = 225,943,873,868.45
  5. Step 5: Solve for x
    x = 225,943,873,868.45/487,193.96
  6. Step 6: Final answer
    x = 463,765.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.