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Finding the Fourth Proportional to 426,822.30, 640,233.45 and 214,245.90

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Solution

The fourth proportional to 426,822.30, 640,233.45 and 214,245.90 is: 321,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,822.30 : 640,233.45 = 214,245.90 : x
  2. Step 2: Convert to fraction form
    426,822.30/640,233.45 = 214,245.90/x
  3. Step 3: Cross multiply
    426,822.30x = 640,233.45 × 214,245.90
  4. Step 4: Simplify right side
    426,822.30x = 137,167,391,705.36
  5. Step 5: Solve for x
    x = 137,167,391,705.36/426,822.30
  6. Step 6: Final answer
    x = 321,368.85

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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.