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Finding the Fourth Proportional to 513,241, 769,811.97 and 158,159.68

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Solution

The fourth proportional to 513,241, 769,811.97 and 158,159.68 is: 237,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,241 : 769,811.97 = 158,159.68 : x
  2. Step 2: Convert to fraction form
    513,241/769,811.97 = 158,159.68/x
  3. Step 3: Cross multiply
    513,241x = 769,811.97 × 158,159.68
  4. Step 4: Simplify right side
    513,241x = 121,753,214,835.37
  5. Step 5: Solve for x
    x = 121,753,214,835.37/513,241
  6. Step 6: Final answer
    x = 237,224.26

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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.