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Finding the Fourth Proportional to 399,493.46, 599,234.06 and 119,010.72

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Solution

The fourth proportional to 399,493.46, 599,234.06 and 119,010.72 is: 178,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,493.46 : 599,234.06 = 119,010.72 : x
  2. Step 2: Convert to fraction form
    399,493.46/599,234.06 = 119,010.72/x
  3. Step 3: Cross multiply
    399,493.46x = 599,234.06 × 119,010.72
  4. Step 4: Simplify right side
    399,493.46x = 71,315,276,929.12
  5. Step 5: Solve for x
    x = 71,315,276,929.12/399,493.46
  6. Step 6: Final answer
    x = 178,514.25

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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.