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Finding the Fourth Proportional to 285,563.67, 428,234.76 and 152,371.28

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Solution

The fourth proportional to 285,563.67, 428,234.76 and 152,371.28 is: 228,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,563.67 : 428,234.76 = 152,371.28 : x
  2. Step 2: Convert to fraction form
    285,563.67/428,234.76 = 152,371.28/x
  3. Step 3: Cross multiply
    285,563.67x = 428,234.76 × 152,371.28
  4. Step 4: Simplify right side
    285,563.67x = 65,250,676,380.52
  5. Step 5: Solve for x
    x = 65,250,676,380.52/285,563.67
  6. Step 6: Final answer
    x = 228,497.82

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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.