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Finding the Fourth Proportional to 426,850.92, 640,354.14 and 146,305.80

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Solution

The fourth proportional to 426,850.92, 640,354.14 and 146,305.80 is: 219,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,850.92 : 640,354.14 = 146,305.80 : x
  2. Step 2: Convert to fraction form
    426,850.92/640,354.14 = 146,305.80/x
  3. Step 3: Cross multiply
    426,850.92x = 640,354.14 × 146,305.80
  4. Step 4: Simplify right side
    426,850.92x = 93,687,524,736.01
  5. Step 5: Solve for x
    x = 93,687,524,736.01/426,850.92
  6. Step 6: Final answer
    x = 219,485.35

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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.