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Finding the Fourth Proportional to 477,978.63, 659,618.82 and 274,062.75

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Solution

The fourth proportional to 477,978.63, 659,618.82 and 274,062.75 is: 378,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,978.63 : 659,618.82 = 274,062.75 : x
  2. Step 2: Convert to fraction form
    477,978.63/659,618.82 = 274,062.75/x
  3. Step 3: Cross multiply
    477,978.63x = 659,618.82 × 274,062.75
  4. Step 4: Simplify right side
    477,978.63x = 180,776,947,760.96
  5. Step 5: Solve for x
    x = 180,776,947,760.96/477,978.63
  6. Step 6: Final answer
    x = 378,211.36

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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.