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Finding the Fourth Proportional to 512,994.23, 708,385.96 and 319,731.77

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Solution

The fourth proportional to 512,994.23, 708,385.96 and 319,731.77 is: 441,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,994.23 : 708,385.96 = 319,731.77 : x
  2. Step 2: Convert to fraction form
    512,994.23/708,385.96 = 319,731.77/x
  3. Step 3: Cross multiply
    512,994.23x = 708,385.96 × 319,731.77
  4. Step 4: Simplify right side
    512,994.23x = 226,493,496,833.95
  5. Step 5: Solve for x
    x = 226,493,496,833.95/512,994.23
  6. Step 6: Final answer
    x = 441,512.76

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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.