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Finding the Fourth Proportional to 285,701.40, 394,241.40 and 158,366.16

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Solution

The fourth proportional to 285,701.40, 394,241.40 and 158,366.16 is: 218,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,701.40 : 394,241.40 = 158,366.16 : x
  2. Step 2: Convert to fraction form
    285,701.40/394,241.40 = 158,366.16/x
  3. Step 3: Cross multiply
    285,701.40x = 394,241.40 × 158,366.16
  4. Step 4: Simplify right side
    285,701.40x = 62,434,496,631.02
  5. Step 5: Solve for x
    x = 62,434,496,631.02/285,701.40
  6. Step 6: Final answer
    x = 218,530.59

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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.