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Finding the Fourth Proportional to 513,958.97, 771,113.59 and 154,138.55

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Solution

The fourth proportional to 513,958.97, 771,113.59 and 154,138.55 is: 231,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,958.97 : 771,113.59 = 154,138.55 : x
  2. Step 2: Convert to fraction form
    513,958.97/771,113.59 = 154,138.55/x
  3. Step 3: Cross multiply
    513,958.97x = 771,113.59 × 154,138.55
  4. Step 4: Simplify right side
    513,958.97x = 118,858,326,406.98
  5. Step 5: Solve for x
    x = 118,858,326,406.98/513,958.97
  6. Step 6: Final answer
    x = 231,260.34

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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.