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Finding the Fourth Proportional to 215,820.10, 323,730.15 and 214,437.70

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Solution

The fourth proportional to 215,820.10, 323,730.15 and 214,437.70 is: 321,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,820.10 : 323,730.15 = 214,437.70 : x
  2. Step 2: Convert to fraction form
    215,820.10/323,730.15 = 214,437.70/x
  3. Step 3: Cross multiply
    215,820.10x = 323,730.15 × 214,437.70
  4. Step 4: Simplify right side
    215,820.10x = 69,419,948,786.66
  5. Step 5: Solve for x
    x = 69,419,948,786.66/215,820.10
  6. Step 6: Final answer
    x = 321,656.55

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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.