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Finding the Fourth Proportional to 613,143, 919,766.34 and 169,911

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Solution

The fourth proportional to 613,143, 919,766.34 and 169,911 is: 254,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,143 : 919,766.34 = 169,911 : x
  2. Step 2: Convert to fraction form
    613,143/919,766.34 = 169,911/x
  3. Step 3: Cross multiply
    613,143x = 919,766.34 × 169,911
  4. Step 4: Simplify right side
    613,143x = 156,278,418,595.74
  5. Step 5: Solve for x
    x = 156,278,418,595.74/613,143
  6. Step 6: Final answer
    x = 254,880.87

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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.