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Finding the Fourth Proportional to 285,566.88, 394,072.38 and 158,254.32

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Solution

The fourth proportional to 285,566.88, 394,072.38 and 158,254.32 is: 218,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,566.88 : 394,072.38 = 158,254.32 : x
  2. Step 2: Convert to fraction form
    285,566.88/394,072.38 = 158,254.32/x
  3. Step 3: Cross multiply
    285,566.88x = 394,072.38 × 158,254.32
  4. Step 4: Simplify right side
    285,566.88x = 62,363,656,527.68
  5. Step 5: Solve for x
    x = 62,363,656,527.68/285,566.88
  6. Step 6: Final answer
    x = 218,385.47

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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.