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Finding the Fourth Proportional to 353,212.58, 488,716.90 and 307,984.80

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Solution

The fourth proportional to 353,212.58, 488,716.90 and 307,984.80 is: 426,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,212.58 : 488,716.90 = 307,984.80 : x
  2. Step 2: Convert to fraction form
    353,212.58/488,716.90 = 307,984.80/x
  3. Step 3: Cross multiply
    353,212.58x = 488,716.90 × 307,984.80
  4. Step 4: Simplify right side
    353,212.58x = 150,517,376,703.12
  5. Step 5: Solve for x
    x = 150,517,376,703.12/353,212.58
  6. Step 6: Final answer
    x = 426,138.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.