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Finding the Fourth Proportional to 414,278.40, 619,862.40 and 274,310.40

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Solution

The fourth proportional to 414,278.40, 619,862.40 and 274,310.40 is: 410,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,278.40 : 619,862.40 = 274,310.40 : x
  2. Step 2: Convert to fraction form
    414,278.40/619,862.40 = 274,310.40/x
  3. Step 3: Cross multiply
    414,278.40x = 619,862.40 × 274,310.40
  4. Step 4: Simplify right side
    414,278.40x = 170,034,702,888.96
  5. Step 5: Solve for x
    x = 170,034,702,888.96/414,278.40
  6. Step 6: Final answer
    x = 410,435.84

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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.