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Finding the Fourth Proportional to 285,877.49, 394,514.01 and 158,561.28

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Solution

The fourth proportional to 285,877.49, 394,514.01 and 158,561.28 is: 218,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,877.49 : 394,514.01 = 158,561.28 : x
  2. Step 2: Convert to fraction form
    285,877.49/394,514.01 = 158,561.28/x
  3. Step 3: Cross multiply
    285,877.49x = 394,514.01 × 158,561.28
  4. Step 4: Simplify right side
    285,877.49x = 62,554,646,403.53
  5. Step 5: Solve for x
    x = 62,554,646,403.53/285,877.49
  6. Step 6: Final answer
    x = 218,816.28

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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.