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Finding the Fourth Proportional to 265,662.38, 398,549.16 and 147,085.07

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Solution

The fourth proportional to 265,662.38, 398,549.16 and 147,085.07 is: 220,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,662.38 : 398,549.16 = 147,085.07 : x
  2. Step 2: Convert to fraction form
    265,662.38/398,549.16 = 147,085.07/x
  3. Step 3: Cross multiply
    265,662.38x = 398,549.16 × 147,085.07
  4. Step 4: Simplify right side
    265,662.38x = 58,620,629,104.30
  5. Step 5: Solve for x
    x = 58,620,629,104.30/265,662.38
  6. Step 6: Final answer
    x = 220,658.37

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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.