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Finding the Fourth Proportional to 513,924.80, 770,443.92 and 247,318.56

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Solution

The fourth proportional to 513,924.80, 770,443.92 and 247,318.56 is: 370,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,924.80 : 770,443.92 = 247,318.56 : x
  2. Step 2: Convert to fraction form
    513,924.80/770,443.92 = 247,318.56/x
  3. Step 3: Cross multiply
    513,924.80x = 770,443.92 × 247,318.56
  4. Step 4: Simplify right side
    513,924.80x = 190,545,080,855.16
  5. Step 5: Solve for x
    x = 190,545,080,855.16/513,924.80
  6. Step 6: Final answer
    x = 370,764.52

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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.