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Finding the Fourth Proportional to 215,820.40, 323,730.60 and 208,562.80

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Solution

The fourth proportional to 215,820.40, 323,730.60 and 208,562.80 is: 312,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,820.40 : 323,730.60 = 208,562.80 : x
  2. Step 2: Convert to fraction form
    215,820.40/323,730.60 = 208,562.80/x
  3. Step 3: Cross multiply
    215,820.40x = 323,730.60 × 208,562.80
  4. Step 4: Simplify right side
    215,820.40x = 67,518,160,381.68
  5. Step 5: Solve for x
    x = 67,518,160,381.68/215,820.40
  6. Step 6: Final answer
    x = 312,844.20

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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.