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Finding the Fourth Proportional to 325,376.80, 488,272.56 and 138,388

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Solution

The fourth proportional to 325,376.80, 488,272.56 and 138,388 is: 207,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,376.80 : 488,272.56 = 138,388 : x
  2. Step 2: Convert to fraction form
    325,376.80/488,272.56 = 138,388/x
  3. Step 3: Cross multiply
    325,376.80x = 488,272.56 × 138,388
  4. Step 4: Simplify right side
    325,376.80x = 67,571,063,033.28
  5. Step 5: Solve for x
    x = 67,571,063,033.28/325,376.80
  6. Step 6: Final answer
    x = 207,670.19

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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.