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Finding the Fourth Proportional to 354,171.87, 488,742.95 and 193,023.47

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Solution

The fourth proportional to 354,171.87, 488,742.95 and 193,023.47 is: 266,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,171.87 : 488,742.95 = 193,023.47 : x
  2. Step 2: Convert to fraction form
    354,171.87/488,742.95 = 193,023.47/x
  3. Step 3: Cross multiply
    354,171.87x = 488,742.95 × 193,023.47
  4. Step 4: Simplify right side
    354,171.87x = 94,338,860,147.04
  5. Step 5: Solve for x
    x = 94,338,860,147.04/354,171.87
  6. Step 6: Final answer
    x = 266,364.63

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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.