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Finding the Fourth Proportional to 363,415.80, 545,447.70 and 213,468.60

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Solution

The fourth proportional to 363,415.80, 545,447.70 and 213,468.60 is: 320,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,415.80 : 545,447.70 = 213,468.60 : x
  2. Step 2: Convert to fraction form
    363,415.80/545,447.70 = 213,468.60/x
  3. Step 3: Cross multiply
    363,415.80x = 545,447.70 × 213,468.60
  4. Step 4: Simplify right side
    363,415.80x = 116,435,956,892.22
  5. Step 5: Solve for x
    x = 116,435,956,892.22/363,415.80
  6. Step 6: Final answer
    x = 320,393.22

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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.