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Finding the Fourth Proportional to 426,830.40, 640,057 and 227,103.44

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Solution

The fourth proportional to 426,830.40, 640,057 and 227,103.44 is: 340,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,830.40 : 640,057 = 227,103.44 : x
  2. Step 2: Convert to fraction form
    426,830.40/640,057 = 227,103.44/x
  3. Step 3: Cross multiply
    426,830.40x = 640,057 × 227,103.44
  4. Step 4: Simplify right side
    426,830.40x = 145,359,146,496.08
  5. Step 5: Solve for x
    x = 145,359,146,496.08/426,830.40
  6. Step 6: Final answer
    x = 340,554.81

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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.