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Finding the Fourth Proportional to 442,998.70, 664,498.05 and 310,029.10

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Solution

The fourth proportional to 442,998.70, 664,498.05 and 310,029.10 is: 465,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,998.70 : 664,498.05 = 310,029.10 : x
  2. Step 2: Convert to fraction form
    442,998.70/664,498.05 = 310,029.10/x
  3. Step 3: Cross multiply
    442,998.70x = 664,498.05 × 310,029.10
  4. Step 4: Simplify right side
    442,998.70x = 206,013,732,393.26
  5. Step 5: Solve for x
    x = 206,013,732,393.26/442,998.70
  6. Step 6: Final answer
    x = 465,043.65

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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.