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Finding the Fourth Proportional to 325,329.90, 487,284.14 and 135,213.86

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Solution

The fourth proportional to 325,329.90, 487,284.14 and 135,213.86 is: 202,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,329.90 : 487,284.14 = 135,213.86 : x
  2. Step 2: Convert to fraction form
    325,329.90/487,284.14 = 135,213.86/x
  3. Step 3: Cross multiply
    325,329.90x = 487,284.14 × 135,213.86
  4. Step 4: Simplify right side
    325,329.90x = 65,887,569,486.18
  5. Step 5: Solve for x
    x = 65,887,569,486.18/325,329.90
  6. Step 6: Final answer
    x = 202,525.40

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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.