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Finding the Fourth Proportional to 400,745, 553,028.10 and 221,897

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Solution

The fourth proportional to 400,745, 553,028.10 and 221,897 is: 306,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,745 : 553,028.10 = 221,897 : x
  2. Step 2: Convert to fraction form
    400,745/553,028.10 = 221,897/x
  3. Step 3: Cross multiply
    400,745x = 553,028.10 × 221,897
  4. Step 4: Simplify right side
    400,745x = 122,715,276,305.70
  5. Step 5: Solve for x
    x = 122,715,276,305.70/400,745
  6. Step 6: Final answer
    x = 306,217.86

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