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Finding the Fourth Proportional to 330,142.20, 495,213.30 and 307,834.80

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Solution

The fourth proportional to 330,142.20, 495,213.30 and 307,834.80 is: 461,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,142.20 : 495,213.30 = 307,834.80 : x
  2. Step 2: Convert to fraction form
    330,142.20/495,213.30 = 307,834.80/x
  3. Step 3: Cross multiply
    330,142.20x = 495,213.30 × 307,834.80
  4. Step 4: Simplify right side
    330,142.20x = 152,443,887,162.84
  5. Step 5: Solve for x
    x = 152,443,887,162.84/330,142.20
  6. Step 6: Final answer
    x = 461,752.20

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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.