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Finding the Fourth Proportional to 330,422.70, 495,634.05 and 313,364.10

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Solution

The fourth proportional to 330,422.70, 495,634.05 and 313,364.10 is: 470,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,422.70 : 495,634.05 = 313,364.10 : x
  2. Step 2: Convert to fraction form
    330,422.70/495,634.05 = 313,364.10/x
  3. Step 3: Cross multiply
    330,422.70x = 495,634.05 × 313,364.10
  4. Step 4: Simplify right side
    330,422.70x = 155,313,918,007.61
  5. Step 5: Solve for x
    x = 155,313,918,007.61/330,422.70
  6. Step 6: Final answer
    x = 470,046.15

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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.