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Finding the Fourth Proportional to 427,205.58, 640,874.82 and 142,808.10

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Solution

The fourth proportional to 427,205.58, 640,874.82 and 142,808.10 is: 214,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,205.58 : 640,874.82 = 142,808.10 : x
  2. Step 2: Convert to fraction form
    427,205.58/640,874.82 = 142,808.10/x
  3. Step 3: Cross multiply
    427,205.58x = 640,874.82 × 142,808.10
  4. Step 4: Simplify right side
    427,205.58x = 91,522,115,382.04
  5. Step 5: Solve for x
    x = 91,522,115,382.04/427,205.58
  6. Step 6: Final answer
    x = 214,234.36

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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.