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Finding the Fourth Proportional to 285,071.54, 393,406.89 and 157,758.98

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Solution

The fourth proportional to 285,071.54, 393,406.89 and 157,758.98 is: 217,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,071.54 : 393,406.89 = 157,758.98 : x
  2. Step 2: Convert to fraction form
    285,071.54/393,406.89 = 157,758.98/x
  3. Step 3: Cross multiply
    285,071.54x = 393,406.89 × 157,758.98
  4. Step 4: Simplify right side
    285,071.54x = 62,063,469,691.37
  5. Step 5: Solve for x
    x = 62,063,469,691.37/285,071.54
  6. Step 6: Final answer
    x = 217,711.91

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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.