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Finding the Fourth Proportional to 285,818.40, 394,453.62 and 158,535

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Solution

The fourth proportional to 285,818.40, 394,453.62 and 158,535 is: 218,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,818.40 : 394,453.62 = 158,535 : x
  2. Step 2: Convert to fraction form
    285,818.40/394,453.62 = 158,535/x
  3. Step 3: Cross multiply
    285,818.40x = 394,453.62 × 158,535
  4. Step 4: Simplify right side
    285,818.40x = 62,534,704,646.70
  5. Step 5: Solve for x
    x = 62,534,704,646.70/285,818.40
  6. Step 6: Final answer
    x = 218,791.74

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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.