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Finding the Fourth Proportional to 273,938.07, 410,877.84 and 129,809.10

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Solution

The fourth proportional to 273,938.07, 410,877.84 and 129,809.10 is: 194,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,938.07 : 410,877.84 = 129,809.10 : x
  2. Step 2: Convert to fraction form
    273,938.07/410,877.84 = 129,809.10/x
  3. Step 3: Cross multiply
    273,938.07x = 410,877.84 × 129,809.10
  4. Step 4: Simplify right side
    273,938.07x = 53,335,682,620.34
  5. Step 5: Solve for x
    x = 53,335,682,620.34/273,938.07
  6. Step 6: Final answer
    x = 194,699.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.