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Finding the Fourth Proportional to 577,476.46, 796,922.56 and 319,339.98

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Solution

The fourth proportional to 577,476.46, 796,922.56 and 319,339.98 is: 440,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,476.46 : 796,922.56 = 319,339.98 : x
  2. Step 2: Convert to fraction form
    577,476.46/796,922.56 = 319,339.98/x
  3. Step 3: Cross multiply
    577,476.46x = 796,922.56 × 319,339.98
  4. Step 4: Simplify right side
    577,476.46x = 254,489,234,371.95
  5. Step 5: Solve for x
    x = 254,489,234,371.95/577,476.46
  6. Step 6: Final answer
    x = 440,691.96

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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.