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Finding the Fourth Proportional to 518,109.44, 777,494.91 and 251,724.74

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Solution

The fourth proportional to 518,109.44, 777,494.91 and 251,724.74 is: 377,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,109.44 : 777,494.91 = 251,724.74 : x
  2. Step 2: Convert to fraction form
    518,109.44/777,494.91 = 251,724.74/x
  3. Step 3: Cross multiply
    518,109.44x = 777,494.91 × 251,724.74
  4. Step 4: Simplify right side
    518,109.44x = 195,714,704,071.07
  5. Step 5: Solve for x
    x = 195,714,704,071.07/518,109.44
  6. Step 6: Final answer
    x = 377,747.81

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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.