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Finding the Fourth Proportional to 331,340.70, 497,011.05 and 309,033.30

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Solution

The fourth proportional to 331,340.70, 497,011.05 and 309,033.30 is: 463,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,340.70 : 497,011.05 = 309,033.30 : x
  2. Step 2: Convert to fraction form
    331,340.70/497,011.05 = 309,033.30/x
  3. Step 3: Cross multiply
    331,340.70x = 497,011.05 × 309,033.30
  4. Step 4: Simplify right side
    331,340.70x = 153,592,964,917.97
  5. Step 5: Solve for x
    x = 153,592,964,917.97/331,340.70
  6. Step 6: Final answer
    x = 463,549.95

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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.