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Finding the Fourth Proportional to 297,488.76, 410,187.60 and 221,906.04

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Solution

The fourth proportional to 297,488.76, 410,187.60 and 221,906.04 is: 305,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,488.76 : 410,187.60 = 221,906.04 : x
  2. Step 2: Convert to fraction form
    297,488.76/410,187.60 = 221,906.04/x
  3. Step 3: Cross multiply
    297,488.76x = 410,187.60 × 221,906.04
  4. Step 4: Simplify right side
    297,488.76x = 91,023,105,973.10
  5. Step 5: Solve for x
    x = 91,023,105,973.10/297,488.76
  6. Step 6: Final answer
    x = 305,971.58

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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.