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Finding the Fourth Proportional to 550,980.74, 826,093.81 and 280,585.48

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Solution

The fourth proportional to 550,980.74, 826,093.81 and 280,585.48 is: 420,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,980.74 : 826,093.81 = 280,585.48 : x
  2. Step 2: Convert to fraction form
    550,980.74/826,093.81 = 280,585.48/x
  3. Step 3: Cross multiply
    550,980.74x = 826,093.81 × 280,585.48
  4. Step 4: Simplify right side
    550,980.74x = 231,789,922,670.48
  5. Step 5: Solve for x
    x = 231,789,922,670.48/550,980.74
  6. Step 6: Final answer
    x = 420,686.07

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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.