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Finding the Fourth Proportional to 285,838.92, 394,429.26 and 165,019.20

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Solution

The fourth proportional to 285,838.92, 394,429.26 and 165,019.20 is: 227,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,838.92 : 394,429.26 = 165,019.20 : x
  2. Step 2: Convert to fraction form
    285,838.92/394,429.26 = 165,019.20/x
  3. Step 3: Cross multiply
    285,838.92x = 394,429.26 × 165,019.20
  4. Step 4: Simplify right side
    285,838.92x = 65,088,400,941.79
  5. Step 5: Solve for x
    x = 65,088,400,941.79/285,838.92
  6. Step 6: Final answer
    x = 227,710.07

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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.