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Finding the Fourth Proportional to 513,727.74, 770,771.52 and 158,741.73

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Solution

The fourth proportional to 513,727.74, 770,771.52 and 158,741.73 is: 238,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,727.74 : 770,771.52 = 158,741.73 : x
  2. Step 2: Convert to fraction form
    513,727.74/770,771.52 = 158,741.73/x
  3. Step 3: Cross multiply
    513,727.74x = 770,771.52 × 158,741.73
  4. Step 4: Simplify right side
    513,727.74x = 122,353,604,519.53
  5. Step 5: Solve for x
    x = 122,353,604,519.53/513,727.74
  6. Step 6: Final answer
    x = 238,168.19

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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.