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Finding the Fourth Proportional to 285,617.63, 394,152.35 and 158,301.42

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Solution

The fourth proportional to 285,617.63, 394,152.35 and 158,301.42 is: 218,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,617.63 : 394,152.35 = 158,301.42 : x
  2. Step 2: Convert to fraction form
    285,617.63/394,152.35 = 158,301.42/x
  3. Step 3: Cross multiply
    285,617.63x = 394,152.35 × 158,301.42
  4. Step 4: Simplify right side
    285,617.63x = 62,394,875,909.83
  5. Step 5: Solve for x
    x = 62,394,875,909.83/285,617.63
  6. Step 6: Final answer
    x = 218,455.97

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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.