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Finding the Fourth Proportional to 400,707, 552,992.94 and 221,859

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Solution

The fourth proportional to 400,707, 552,992.94 and 221,859 is: 306,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,707 : 552,992.94 = 221,859 : x
  2. Step 2: Convert to fraction form
    400,707/552,992.94 = 221,859/x
  3. Step 3: Cross multiply
    400,707x = 552,992.94 × 221,859
  4. Step 4: Simplify right side
    400,707x = 122,686,460,675.46
  5. Step 5: Solve for x
    x = 122,686,460,675.46/400,707
  6. Step 6: Final answer
    x = 306,174.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.