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Finding the Fourth Proportional to 647,445.20, 893,478.12 and 360,983.12

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Solution

The fourth proportional to 647,445.20, 893,478.12 and 360,983.12 is: 498,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,445.20 : 893,478.12 = 360,983.12 : x
  2. Step 2: Convert to fraction form
    647,445.20/893,478.12 = 360,983.12/x
  3. Step 3: Cross multiply
    647,445.20x = 893,478.12 × 360,983.12
  4. Step 4: Simplify right side
    647,445.20x = 322,530,519,409.33
  5. Step 5: Solve for x
    x = 322,530,519,409.33/647,445.20
  6. Step 6: Final answer
    x = 498,158.79

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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.