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Finding the Fourth Proportional to 513,798.04, 770,770.89 and 158,839.73

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Solution

The fourth proportional to 513,798.04, 770,770.89 and 158,839.73 is: 238,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,798.04 : 770,770.89 = 158,839.73 : x
  2. Step 2: Convert to fraction form
    513,798.04/770,770.89 = 158,839.73/x
  3. Step 3: Cross multiply
    513,798.04x = 770,770.89 × 158,839.73
  4. Step 4: Simplify right side
    513,798.04x = 122,429,043,431.58
  5. Step 5: Solve for x
    x = 122,429,043,431.58/513,798.04
  6. Step 6: Final answer
    x = 238,282.43

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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.