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Finding the Fourth Proportional to 414,296.40, 619,889.40 and 274,328.40

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Solution

The fourth proportional to 414,296.40, 619,889.40 and 274,328.40 is: 410,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,296.40 : 619,889.40 = 274,328.40 : x
  2. Step 2: Convert to fraction form
    414,296.40/619,889.40 = 274,328.40/x
  3. Step 3: Cross multiply
    414,296.40x = 619,889.40 × 274,328.40
  4. Step 4: Simplify right side
    414,296.40x = 170,053,267,278.96
  5. Step 5: Solve for x
    x = 170,053,267,278.96/414,296.40
  6. Step 6: Final answer
    x = 410,462.82

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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.