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Finding the Fourth Proportional to 285,698.39, 394,237.27 and 158,363.15

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Solution

The fourth proportional to 285,698.39, 394,237.27 and 158,363.15 is: 218,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,698.39 : 394,237.27 = 158,363.15 : x
  2. Step 2: Convert to fraction form
    285,698.39/394,237.27 = 158,363.15/x
  3. Step 3: Cross multiply
    285,698.39x = 394,237.27 × 158,363.15
  4. Step 4: Simplify right side
    285,698.39x = 62,432,655,924.60
  5. Step 5: Solve for x
    x = 62,432,655,924.60/285,698.39
  6. Step 6: Final answer
    x = 218,526.45

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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.