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Finding the Fourth Proportional to 285,992.17, 394,661.69 and 156,930.24

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Solution

The fourth proportional to 285,992.17, 394,661.69 and 156,930.24 is: 216,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,992.17 : 394,661.69 = 156,930.24 : x
  2. Step 2: Convert to fraction form
    285,992.17/394,661.69 = 156,930.24/x
  3. Step 3: Cross multiply
    285,992.17x = 394,661.69 × 156,930.24
  4. Step 4: Simplify right side
    285,992.17x = 61,934,352,125.73
  5. Step 5: Solve for x
    x = 61,934,352,125.73/285,992.17
  6. Step 6: Final answer
    x = 216,559.61

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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.