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Finding the Fourth Proportional to 285,731.92, 394,319.64 and 158,399.92

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Solution

The fourth proportional to 285,731.92, 394,319.64 and 158,399.92 is: 218,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,731.92 : 394,319.64 = 158,399.92 : x
  2. Step 2: Convert to fraction form
    285,731.92/394,319.64 = 158,399.92/x
  3. Step 3: Cross multiply
    285,731.92x = 394,319.64 × 158,399.92
  4. Step 4: Simplify right side
    285,731.92x = 62,460,199,430.43
  5. Step 5: Solve for x
    x = 62,460,199,430.43/285,731.92
  6. Step 6: Final answer
    x = 218,597.21

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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.