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Finding the Fourth Proportional to 400,746, 553,029.48 and 221,898

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Solution

The fourth proportional to 400,746, 553,029.48 and 221,898 is: 306,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,746 : 553,029.48 = 221,898 : x
  2. Step 2: Convert to fraction form
    400,746/553,029.48 = 221,898/x
  3. Step 3: Cross multiply
    400,746x = 553,029.48 × 221,898
  4. Step 4: Simplify right side
    400,746x = 122,716,135,553.04
  5. Step 5: Solve for x
    x = 122,716,135,553.04/400,746
  6. Step 6: Final answer
    x = 306,219.24

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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.