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Finding the Fourth Proportional to 427,993.31, 642,114.96 and 191,280.64

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Solution

The fourth proportional to 427,993.31, 642,114.96 and 191,280.64 is: 286,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,993.31 : 642,114.96 = 191,280.64 : x
  2. Step 2: Convert to fraction form
    427,993.31/642,114.96 = 191,280.64/x
  3. Step 3: Cross multiply
    427,993.31x = 642,114.96 × 191,280.64
  4. Step 4: Simplify right side
    427,993.31x = 122,824,157,291.80
  5. Step 5: Solve for x
    x = 122,824,157,291.80/427,993.31
  6. Step 6: Final answer
    x = 286,976.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.