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Finding the Fourth Proportional to 285,196.92, 428,215.92 and 159,083.57

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Solution

The fourth proportional to 285,196.92, 428,215.92 and 159,083.57 is: 238,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,196.92 : 428,215.92 = 159,083.57 : x
  2. Step 2: Convert to fraction form
    285,196.92/428,215.92 = 159,083.57/x
  3. Step 3: Cross multiply
    285,196.92x = 428,215.92 × 159,083.57
  4. Step 4: Simplify right side
    285,196.92x = 68,122,114,347.94
  5. Step 5: Solve for x
    x = 68,122,114,347.94/285,196.92
  6. Step 6: Final answer
    x = 238,859.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.