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Finding the Fourth Proportional to 265,784.30, 398,676.45 and 133,073.90

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Solution

The fourth proportional to 265,784.30, 398,676.45 and 133,073.90 is: 199,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,784.30 : 398,676.45 = 133,073.90 : x
  2. Step 2: Convert to fraction form
    265,784.30/398,676.45 = 133,073.90/x
  3. Step 3: Cross multiply
    265,784.30x = 398,676.45 × 133,073.90
  4. Step 4: Simplify right side
    265,784.30x = 53,053,430,039.66
  5. Step 5: Solve for x
    x = 53,053,430,039.66/265,784.30
  6. Step 6: Final answer
    x = 199,610.85

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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.