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Finding the Fourth Proportional to 285,597.90, 394,148.43 and 158,314.50

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Solution

The fourth proportional to 285,597.90, 394,148.43 and 158,314.50 is: 218,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,597.90 : 394,148.43 = 158,314.50 : x
  2. Step 2: Convert to fraction form
    285,597.90/394,148.43 = 158,314.50/x
  3. Step 3: Cross multiply
    285,597.90x = 394,148.43 × 158,314.50
  4. Step 4: Simplify right side
    285,597.90x = 62,399,411,621.24
  5. Step 5: Solve for x
    x = 62,399,411,621.24/285,597.90
  6. Step 6: Final answer
    x = 218,486.94

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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.