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Finding the Fourth Proportional to 647,822.84, 893,996.88 and 361,335.56

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Solution

The fourth proportional to 647,822.84, 893,996.88 and 361,335.56 is: 498,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,822.84 : 893,996.88 = 361,335.56 : x
  2. Step 2: Convert to fraction form
    647,822.84/893,996.88 = 361,335.56/x
  3. Step 3: Cross multiply
    647,822.84x = 893,996.88 × 361,335.56
  4. Step 4: Simplify right side
    647,822.84x = 323,032,863,273.05
  5. Step 5: Solve for x
    x = 323,032,863,273.05/647,822.84
  6. Step 6: Final answer
    x = 498,643.83

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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.