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Finding the Fourth Proportional to 402,709.41, 555,724.04 and 221,410.55

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Solution

The fourth proportional to 402,709.41, 555,724.04 and 221,410.55 is: 305,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,709.41 : 555,724.04 = 221,410.55 : x
  2. Step 2: Convert to fraction form
    402,709.41/555,724.04 = 221,410.55/x
  3. Step 3: Cross multiply
    402,709.41x = 555,724.04 × 221,410.55
  4. Step 4: Simplify right side
    402,709.41x = 123,043,161,458.95
  5. Step 5: Solve for x
    x = 123,043,161,458.95/402,709.41
  6. Step 6: Final answer
    x = 305,538.33

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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.