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Finding the Fourth Proportional to 285,126.72, 393,481.44 and 157,807.68

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Solution

The fourth proportional to 285,126.72, 393,481.44 and 157,807.68 is: 217,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,126.72 : 393,481.44 = 157,807.68 : x
  2. Step 2: Convert to fraction form
    285,126.72/393,481.44 = 157,807.68/x
  3. Step 3: Cross multiply
    285,126.72x = 393,481.44 × 157,807.68
  4. Step 4: Simplify right side
    285,126.72x = 62,094,393,169.46
  5. Step 5: Solve for x
    x = 62,094,393,169.46/285,126.72
  6. Step 6: Final answer
    x = 217,778.23

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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.