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Finding the Fourth Proportional to 286,910.22, 430,364.61 and 87,229.74

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Solution

The fourth proportional to 286,910.22, 430,364.61 and 87,229.74 is: 130,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,910.22 : 430,364.61 = 87,229.74 : x
  2. Step 2: Convert to fraction form
    286,910.22/430,364.61 = 87,229.74/x
  3. Step 3: Cross multiply
    286,910.22x = 430,364.61 × 87,229.74
  4. Step 4: Simplify right side
    286,910.22x = 37,540,593,035.50
  5. Step 5: Solve for x
    x = 37,540,593,035.50/286,910.22
  6. Step 6: Final answer
    x = 130,844.39

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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.