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Finding the Fourth Proportional to 363,393.84, 545,093.24 and 138,693.68

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Solution

The fourth proportional to 363,393.84, 545,093.24 and 138,693.68 is: 208,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,393.84 : 545,093.24 = 138,693.68 : x
  2. Step 2: Convert to fraction form
    363,393.84/545,093.24 = 138,693.68/x
  3. Step 3: Cross multiply
    363,393.84x = 545,093.24 × 138,693.68
  4. Step 4: Simplify right side
    363,393.84x = 75,600,987,398.72
  5. Step 5: Solve for x
    x = 75,600,987,398.72/363,393.84
  6. Step 6: Final answer
    x = 208,041.47

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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.