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Finding the Fourth Proportional to 512,994.98, 708,387.00 and 319,732.52

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Solution

The fourth proportional to 512,994.98, 708,387.00 and 319,732.52 is: 441,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,994.98 : 708,387.00 = 319,732.52 : x
  2. Step 2: Convert to fraction form
    512,994.98/708,387.00 = 319,732.52/x
  3. Step 3: Cross multiply
    512,994.98x = 708,387.00 × 319,732.52
  4. Step 4: Simplify right side
    512,994.98x = 226,494,359,046.58
  5. Step 5: Solve for x
    x = 226,494,359,046.58/512,994.98
  6. Step 6: Final answer
    x = 441,513.80

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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.