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Finding the Fourth Proportional to 285,305.42, 393,721.41 and 157,980.98

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Solution

The fourth proportional to 285,305.42, 393,721.41 and 157,980.98 is: 218,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,305.42 : 393,721.41 = 157,980.98 : x
  2. Step 2: Convert to fraction form
    285,305.42/393,721.41 = 157,980.98/x
  3. Step 3: Cross multiply
    285,305.42x = 393,721.41 × 157,980.98
  4. Step 4: Simplify right side
    285,305.42x = 62,200,494,198.78
  5. Step 5: Solve for x
    x = 62,200,494,198.78/285,305.42
  6. Step 6: Final answer
    x = 218,013.71

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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.