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Finding the Fourth Proportional to 613,742.18, 920,591.50 and 187,260.78

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Solution

The fourth proportional to 613,742.18, 920,591.50 and 187,260.78 is: 280,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,742.18 : 920,591.50 = 187,260.78 : x
  2. Step 2: Convert to fraction form
    613,742.18/920,591.50 = 187,260.78/x
  3. Step 3: Cross multiply
    613,742.18x = 920,591.50 × 187,260.78
  4. Step 4: Simplify right side
    613,742.18x = 172,390,682,351.37
  5. Step 5: Solve for x
    x = 172,390,682,351.37/613,742.18
  6. Step 6: Final answer
    x = 280,884.53

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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.