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Finding the Fourth Proportional to 400,503, 552,695.76 and 221,655

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Solution

The fourth proportional to 400,503, 552,695.76 and 221,655 is: 305,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,503 : 552,695.76 = 221,655 : x
  2. Step 2: Convert to fraction form
    400,503/552,695.76 = 221,655/x
  3. Step 3: Cross multiply
    400,503x = 552,695.76 × 221,655
  4. Step 4: Simplify right side
    400,503x = 122,507,778,682.80
  5. Step 5: Solve for x
    x = 122,507,778,682.80/400,503
  6. Step 6: Final answer
    x = 305,884.80

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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.