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Finding the Fourth Proportional to 261,907, 361,414.65 and 154,452.40

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Solution

The fourth proportional to 261,907, 361,414.65 and 154,452.40 is: 213,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,907 : 361,414.65 = 154,452.40 : x
  2. Step 2: Convert to fraction form
    261,907/361,414.65 = 154,452.40/x
  3. Step 3: Cross multiply
    261,907x = 361,414.65 × 154,452.40
  4. Step 4: Simplify right side
    261,907x = 55,821,360,087.66
  5. Step 5: Solve for x
    x = 55,821,360,087.66/261,907
  6. Step 6: Final answer
    x = 213,134.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.