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Finding the Fourth Proportional to 285,878.97, 394,254.81 and 178,458.93

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Solution

The fourth proportional to 285,878.97, 394,254.81 and 178,458.93 is: 246,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,878.97 : 394,254.81 = 178,458.93 : x
  2. Step 2: Convert to fraction form
    285,878.97/394,254.81 = 178,458.93/x
  3. Step 3: Cross multiply
    285,878.97x = 394,254.81 × 178,458.93
  4. Step 4: Simplify right side
    285,878.97x = 70,358,291,539.95
  5. Step 5: Solve for x
    x = 70,358,291,539.95/285,878.97
  6. Step 6: Final answer
    x = 246,112.16

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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.