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Finding the Fourth Proportional to 513,244, 769,816.46 and 158,162.68

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Solution

The fourth proportional to 513,244, 769,816.46 and 158,162.68 is: 237,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,244 : 769,816.46 = 158,162.68 : x
  2. Step 2: Convert to fraction form
    513,244/769,816.46 = 158,162.68/x
  3. Step 3: Cross multiply
    513,244x = 769,816.46 × 158,162.68
  4. Step 4: Simplify right side
    513,244x = 121,756,234,421.71
  5. Step 5: Solve for x
    x = 121,756,234,421.71/513,244
  6. Step 6: Final answer
    x = 237,228.75

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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.