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Finding the Fourth Proportional to 518,154.56, 776,898.01 and 218,555

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Solution

The fourth proportional to 518,154.56, 776,898.01 and 218,555 is: 327,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,154.56 : 776,898.01 = 218,555 : x
  2. Step 2: Convert to fraction form
    518,154.56/776,898.01 = 218,555/x
  3. Step 3: Cross multiply
    518,154.56x = 776,898.01 × 218,555
  4. Step 4: Simplify right side
    518,154.56x = 169,794,944,575.55
  5. Step 5: Solve for x
    x = 169,794,944,575.55/518,154.56
  6. Step 6: Final answer
    x = 327,691.69

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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.