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Finding the Fourth Proportional to 493,221.88, 680,573.20 and 299,528.86

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Solution

The fourth proportional to 493,221.88, 680,573.20 and 299,528.86 is: 413,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,221.88 : 680,573.20 = 299,528.86 : x
  2. Step 2: Convert to fraction form
    493,221.88/680,573.20 = 299,528.86/x
  3. Step 3: Cross multiply
    493,221.88x = 680,573.20 × 299,528.86
  4. Step 4: Simplify right side
    493,221.88x = 203,851,314,742.55
  5. Step 5: Solve for x
    x = 203,851,314,742.55/493,221.88
  6. Step 6: Final answer
    x = 413,305.50

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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.