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Finding the Fourth Proportional to 285,971.04, 394,640.50 and 158,646.64

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Solution

The fourth proportional to 285,971.04, 394,640.50 and 158,646.64 is: 218,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,971.04 : 394,640.50 = 158,646.64 : x
  2. Step 2: Convert to fraction form
    285,971.04/394,640.50 = 158,646.64/x
  3. Step 3: Cross multiply
    285,971.04x = 394,640.50 × 158,646.64
  4. Step 4: Simplify right side
    285,971.04x = 62,608,389,332.92
  5. Step 5: Solve for x
    x = 62,608,389,332.92/285,971.04
  6. Step 6: Final answer
    x = 218,932.62

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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.