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Finding the Fourth Proportional to 325,404, 488,114.64 and 103,788

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Solution

The fourth proportional to 325,404, 488,114.64 and 103,788 is: 155,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,404 : 488,114.64 = 103,788 : x
  2. Step 2: Convert to fraction form
    325,404/488,114.64 = 103,788/x
  3. Step 3: Cross multiply
    325,404x = 488,114.64 × 103,788
  4. Step 4: Simplify right side
    325,404x = 50,660,442,256.32
  5. Step 5: Solve for x
    x = 50,660,442,256.32/325,404
  6. Step 6: Final answer
    x = 155,684.76

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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.