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Finding the Fourth Proportional to 726,580, 1,090,045 and 227,944

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Solution

The fourth proportional to 726,580, 1,090,045 and 227,944 is: 341,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,580 : 1,090,045 = 227,944 : x
  2. Step 2: Convert to fraction form
    726,580/1,090,045 = 227,944/x
  3. Step 3: Cross multiply
    726,580x = 1,090,045 × 227,944
  4. Step 4: Simplify right side
    726,580x = 248,469,217,480
  5. Step 5: Solve for x
    x = 248,469,217,480/726,580
  6. Step 6: Final answer
    x = 341,970.90

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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.