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Finding the Fourth Proportional to 330,010.40, 494,432.40 and 309,015.20

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Solution

The fourth proportional to 330,010.40, 494,432.40 and 309,015.20 is: 462,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,010.40 : 494,432.40 = 309,015.20 : x
  2. Step 2: Convert to fraction form
    330,010.40/494,432.40 = 309,015.20/x
  3. Step 3: Cross multiply
    330,010.40x = 494,432.40 × 309,015.20
  4. Step 4: Simplify right side
    330,010.40x = 152,787,126,972.48
  5. Step 5: Solve for x
    x = 152,787,126,972.48/330,010.40
  6. Step 6: Final answer
    x = 462,976.70

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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.