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Finding the Fourth Proportional to 428,234.46, 642,301.65 and 172,056.65

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Solution

The fourth proportional to 428,234.46, 642,301.65 and 172,056.65 is: 258,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,234.46 : 642,301.65 = 172,056.65 : x
  2. Step 2: Convert to fraction form
    428,234.46/642,301.65 = 172,056.65/x
  3. Step 3: Cross multiply
    428,234.46x = 642,301.65 × 172,056.65
  4. Step 4: Simplify right side
    428,234.46x = 110,512,266,116.68
  5. Step 5: Solve for x
    x = 110,512,266,116.68/428,234.46
  6. Step 6: Final answer
    x = 258,064.86

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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.