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Finding the Fourth Proportional to 490,714.88, 677,197.46 and 299,833.52

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Solution

The fourth proportional to 490,714.88, 677,197.46 and 299,833.52 is: 413,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,714.88 : 677,197.46 = 299,833.52 : x
  2. Step 2: Convert to fraction form
    490,714.88/677,197.46 = 299,833.52/x
  3. Step 3: Cross multiply
    490,714.88x = 677,197.46 × 299,833.52
  4. Step 4: Simplify right side
    490,714.88x = 203,046,495,530.46
  5. Step 5: Solve for x
    x = 203,046,495,530.46/490,714.88
  6. Step 6: Final answer
    x = 413,776.93

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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.