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Finding the Fourth Proportional to 285,847.40, 394,493.66 and 158,564

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Solution

The fourth proportional to 285,847.40, 394,493.66 and 158,564 is: 218,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,847.40 : 394,493.66 = 158,564 : x
  2. Step 2: Convert to fraction form
    285,847.40/394,493.66 = 158,564/x
  3. Step 3: Cross multiply
    285,847.40x = 394,493.66 × 158,564
  4. Step 4: Simplify right side
    285,847.40x = 62,552,492,704.24
  5. Step 5: Solve for x
    x = 62,552,492,704.24/285,847.40
  6. Step 6: Final answer
    x = 218,831.77

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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.