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Finding the Fourth Proportional to 647,796.68, 893,961 and 361,335.32

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Solution

The fourth proportional to 647,796.68, 893,961 and 361,335.32 is: 498,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,796.68 : 893,961 = 361,335.32 : x
  2. Step 2: Convert to fraction form
    647,796.68/893,961 = 361,335.32/x
  3. Step 3: Cross multiply
    647,796.68x = 893,961 × 361,335.32
  4. Step 4: Simplify right side
    647,796.68x = 323,019,684,002.52
  5. Step 5: Solve for x
    x = 323,019,684,002.52/647,796.68
  6. Step 6: Final answer
    x = 498,643.62

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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.