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Finding the Fourth Proportional to 330,140.70, 495,211.05 and 307,833.30

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Solution

The fourth proportional to 330,140.70, 495,211.05 and 307,833.30 is: 461,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,140.70 : 495,211.05 = 307,833.30 : x
  2. Step 2: Convert to fraction form
    330,140.70/495,211.05 = 307,833.30/x
  3. Step 3: Cross multiply
    330,140.70x = 495,211.05 × 307,833.30
  4. Step 4: Simplify right side
    330,140.70x = 152,442,451,717.97
  5. Step 5: Solve for x
    x = 152,442,451,717.97/330,140.70
  6. Step 6: Final answer
    x = 461,749.95

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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.