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Finding the Fourth Proportional to 518,221.76, 777,437.13 and 218,702.66

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Solution

The fourth proportional to 518,221.76, 777,437.13 and 218,702.66 is: 328,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,221.76 : 777,437.13 = 218,702.66 : x
  2. Step 2: Convert to fraction form
    518,221.76/777,437.13 = 218,702.66/x
  3. Step 3: Cross multiply
    518,221.76x = 777,437.13 × 218,702.66
  4. Step 4: Simplify right side
    518,221.76x = 170,027,568,313.77
  5. Step 5: Solve for x
    x = 170,027,568,313.77/518,221.76
  6. Step 6: Final answer
    x = 328,098.09

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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.