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Finding the Fourth Proportional to 325,356, 487,398.39 and 224,136.18

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Solution

The fourth proportional to 325,356, 487,398.39 and 224,136.18 is: 335,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,356 : 487,398.39 = 224,136.18 : x
  2. Step 2: Convert to fraction form
    325,356/487,398.39 = 224,136.18/x
  3. Step 3: Cross multiply
    325,356x = 487,398.39 × 224,136.18
  4. Step 4: Simplify right side
    325,356x = 109,243,613,272.75
  5. Step 5: Solve for x
    x = 109,243,613,272.75/325,356
  6. Step 6: Final answer
    x = 335,766.40

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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.