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Finding the Fourth Proportional to 400,657, 552,924.90 and 221,809

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Solution

The fourth proportional to 400,657, 552,924.90 and 221,809 is: 306,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,657 : 552,924.90 = 221,809 : x
  2. Step 2: Convert to fraction form
    400,657/552,924.90 = 221,809/x
  3. Step 3: Cross multiply
    400,657x = 552,924.90 × 221,809
  4. Step 4: Simplify right side
    400,657x = 122,643,719,144.10
  5. Step 5: Solve for x
    x = 122,643,719,144.10/400,657
  6. Step 6: Final answer
    x = 306,106.52

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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.