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Finding the Fourth Proportional to 331,088.40, 496,243.80 and 153,219.69

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Solution

The fourth proportional to 331,088.40, 496,243.80 and 153,219.69 is: 229,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,088.40 : 496,243.80 = 153,219.69 : x
  2. Step 2: Convert to fraction form
    331,088.40/496,243.80 = 153,219.69/x
  3. Step 3: Cross multiply
    331,088.40x = 496,243.80 × 153,219.69
  4. Step 4: Simplify right side
    331,088.40x = 76,034,321,200.42
  5. Step 5: Solve for x
    x = 76,034,321,200.42/331,088.40
  6. Step 6: Final answer
    x = 229,649.61

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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.