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Finding the Fourth Proportional to 285,661.59, 394,206.62 and 158,336.07

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Solution

The fourth proportional to 285,661.59, 394,206.62 and 158,336.07 is: 218,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,661.59 : 394,206.62 = 158,336.07 : x
  2. Step 2: Convert to fraction form
    285,661.59/394,206.62 = 158,336.07/x
  3. Step 3: Cross multiply
    285,661.59x = 394,206.62 × 158,336.07
  4. Step 4: Simplify right side
    285,661.59x = 62,417,126,187.10
  5. Step 5: Solve for x
    x = 62,417,126,187.10/285,661.59
  6. Step 6: Final answer
    x = 218,500.24

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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.