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Finding the Fourth Proportional to 265,410.24, 398,171.52 and 87,907.20

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Solution

The fourth proportional to 265,410.24, 398,171.52 and 87,907.20 is: 131,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,410.24 : 398,171.52 = 87,907.20 : x
  2. Step 2: Convert to fraction form
    265,410.24/398,171.52 = 87,907.20/x
  3. Step 3: Cross multiply
    265,410.24x = 398,171.52 × 87,907.20
  4. Step 4: Simplify right side
    265,410.24x = 35,002,143,442.94
  5. Step 5: Solve for x
    x = 35,002,143,442.94/265,410.24
  6. Step 6: Final answer
    x = 131,879.40

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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.