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Finding the Fourth Proportional to 285,601.30, 394,123.08 and 158,274.16

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Solution

The fourth proportional to 285,601.30, 394,123.08 and 158,274.16 is: 218,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,601.30 : 394,123.08 = 158,274.16 : x
  2. Step 2: Convert to fraction form
    285,601.30/394,123.08 = 158,274.16/x
  3. Step 3: Cross multiply
    285,601.30x = 394,123.08 × 158,274.16
  4. Step 4: Simplify right side
    285,601.30x = 62,379,499,031.83
  5. Step 5: Solve for x
    x = 62,379,499,031.83/285,601.30
  6. Step 6: Final answer
    x = 218,414.62

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1.5x scale

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.