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Finding the Fourth Proportional to 400,614, 552,847.32 and 221,766

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Solution

The fourth proportional to 400,614, 552,847.32 and 221,766 is: 306,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,614 : 552,847.32 = 221,766 : x
  2. Step 2: Convert to fraction form
    400,614/552,847.32 = 221,766/x
  3. Step 3: Cross multiply
    400,614x = 552,847.32 × 221,766
  4. Step 4: Simplify right side
    400,614x = 122,602,738,767.12
  5. Step 5: Solve for x
    x = 122,602,738,767.12/400,614
  6. Step 6: Final answer
    x = 306,037.08

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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.