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Finding the Fourth Proportional to 461,439.96, 636,762.72 and 260,223

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Solution

The fourth proportional to 461,439.96, 636,762.72 and 260,223 is: 359,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,439.96 : 636,762.72 = 260,223 : x
  2. Step 2: Convert to fraction form
    461,439.96/636,762.72 = 260,223/x
  3. Step 3: Cross multiply
    461,439.96x = 636,762.72 × 260,223
  4. Step 4: Simplify right side
    461,439.96x = 165,700,305,286.56
  5. Step 5: Solve for x
    x = 165,700,305,286.56/461,439.96
  6. Step 6: Final answer
    x = 359,093.97

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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.