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Finding the Fourth Proportional to 285,563.30, 428,234.21 and 152,370.89

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Solution

The fourth proportional to 285,563.30, 428,234.21 and 152,370.89 is: 228,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,563.30 : 428,234.21 = 152,370.89 : x
  2. Step 2: Convert to fraction form
    285,563.30/428,234.21 = 152,370.89/x
  3. Step 3: Cross multiply
    285,563.30x = 428,234.21 × 152,370.89
  4. Step 4: Simplify right side
    285,563.30x = 65,250,424,803.12
  5. Step 5: Solve for x
    x = 65,250,424,803.12/285,563.30
  6. Step 6: Final answer
    x = 228,497.24

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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.