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Finding the Fourth Proportional to 297,282.87, 410,078.79 and 189,731.68

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Solution

The fourth proportional to 297,282.87, 410,078.79 and 189,731.68 is: 261,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,282.87 : 410,078.79 = 189,731.68 : x
  2. Step 2: Convert to fraction form
    297,282.87/410,078.79 = 189,731.68/x
  3. Step 3: Cross multiply
    297,282.87x = 410,078.79 × 189,731.68
  4. Step 4: Simplify right side
    297,282.87x = 77,804,938,983.16
  5. Step 5: Solve for x
    x = 77,804,938,983.16/297,282.87
  6. Step 6: Final answer
    x = 261,720.22

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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.