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Finding the Fourth Proportional to 505,494.92, 758,031.57 and 205,772.04

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Solution

The fourth proportional to 505,494.92, 758,031.57 and 205,772.04 is: 308,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,494.92 : 758,031.57 = 205,772.04 : x
  2. Step 2: Convert to fraction form
    505,494.92/758,031.57 = 205,772.04/x
  3. Step 3: Cross multiply
    505,494.92x = 758,031.57 × 205,772.04
  4. Step 4: Simplify right side
    505,494.92x = 155,981,697,724.29
  5. Step 5: Solve for x
    x = 155,981,697,724.29/505,494.92
  6. Step 6: Final answer
    x = 308,572.24

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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.