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Finding the Fourth Proportional to 285,846.40, 394,492.28 and 158,563

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Solution

The fourth proportional to 285,846.40, 394,492.28 and 158,563 is: 218,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,846.40 : 394,492.28 = 158,563 : x
  2. Step 2: Convert to fraction form
    285,846.40/394,492.28 = 158,563/x
  3. Step 3: Cross multiply
    285,846.40x = 394,492.28 × 158,563
  4. Step 4: Simplify right side
    285,846.40x = 62,551,879,393.64
  5. Step 5: Solve for x
    x = 62,551,879,393.64/285,846.40
  6. Step 6: Final answer
    x = 218,830.39

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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.