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Finding the Fourth Proportional to 330,998.40, 496,108.80 and 153,129.69

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Solution

The fourth proportional to 330,998.40, 496,108.80 and 153,129.69 is: 229,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,998.40 : 496,108.80 = 153,129.69 : x
  2. Step 2: Convert to fraction form
    330,998.40/496,108.80 = 153,129.69/x
  3. Step 3: Cross multiply
    330,998.40x = 496,108.80 × 153,129.69
  4. Step 4: Simplify right side
    330,998.40x = 75,968,986,750.27
  5. Step 5: Solve for x
    x = 75,968,986,750.27/330,998.40
  6. Step 6: Final answer
    x = 229,514.66

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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.