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Finding the Fourth Proportional to 442,148.40, 661,691.70 and 264,782.70

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Solution

The fourth proportional to 442,148.40, 661,691.70 and 264,782.70 is: 396,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,148.40 : 661,691.70 = 264,782.70 : x
  2. Step 2: Convert to fraction form
    442,148.40/661,691.70 = 264,782.70/x
  3. Step 3: Cross multiply
    442,148.40x = 661,691.70 × 264,782.70
  4. Step 4: Simplify right side
    442,148.40x = 175,204,514,893.59
  5. Step 5: Solve for x
    x = 175,204,514,893.59/442,148.40
  6. Step 6: Final answer
    x = 396,257.26

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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.