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Finding the Fourth Proportional to 400,509, 552,704.04 and 221,661

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Solution

The fourth proportional to 400,509, 552,704.04 and 221,661 is: 305,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,509 : 552,704.04 = 221,661 : x
  2. Step 2: Convert to fraction form
    400,509/552,704.04 = 221,661/x
  3. Step 3: Cross multiply
    400,509x = 552,704.04 × 221,661
  4. Step 4: Simplify right side
    400,509x = 122,512,930,210.44
  5. Step 5: Solve for x
    x = 122,512,930,210.44/400,509
  6. Step 6: Final answer
    x = 305,893.08

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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.