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Finding the Fourth Proportional to 285,584.04, 394,100.10 and 158,258.52

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Solution

The fourth proportional to 285,584.04, 394,100.10 and 158,258.52 is: 218,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,584.04 : 394,100.10 = 158,258.52 : x
  2. Step 2: Convert to fraction form
    285,584.04/394,100.10 = 158,258.52/x
  3. Step 3: Cross multiply
    285,584.04x = 394,100.10 × 158,258.52
  4. Step 4: Simplify right side
    285,584.04x = 62,369,698,557.85
  5. Step 5: Solve for x
    x = 62,369,698,557.85/285,584.04
  6. Step 6: Final answer
    x = 218,393.50

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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.