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Finding the Fourth Proportional to 285,978.96, 394,633.80 and 158,646.96

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Solution

The fourth proportional to 285,978.96, 394,633.80 and 158,646.96 is: 218,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.96 : 394,633.80 = 158,646.96 : x
  2. Step 2: Convert to fraction form
    285,978.96/394,633.80 = 158,646.96/x
  3. Step 3: Cross multiply
    285,978.96x = 394,633.80 × 158,646.96
  4. Step 4: Simplify right side
    285,978.96x = 62,607,452,683.25
  5. Step 5: Solve for x
    x = 62,607,452,683.25/285,978.96
  6. Step 6: Final answer
    x = 218,923.28

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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.