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Finding the Fourth Proportional to 265,499.20, 398,637.60 and 206,401.60

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Solution

The fourth proportional to 265,499.20, 398,637.60 and 206,401.60 is: 309,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,499.20 : 398,637.60 = 206,401.60 : x
  2. Step 2: Convert to fraction form
    265,499.20/398,637.60 = 206,401.60/x
  3. Step 3: Cross multiply
    265,499.20x = 398,637.60 × 206,401.60
  4. Step 4: Simplify right side
    265,499.20x = 82,279,438,460.16
  5. Step 5: Solve for x
    x = 82,279,438,460.16/265,499.20
  6. Step 6: Final answer
    x = 309,904.66

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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.