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Finding the Fourth Proportional to 495,976, 684,445.24 and 269,619.88

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Solution

The fourth proportional to 495,976, 684,445.24 and 269,619.88 is: 372,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,976 : 684,445.24 = 269,619.88 : x
  2. Step 2: Convert to fraction form
    495,976/684,445.24 = 269,619.88/x
  3. Step 3: Cross multiply
    495,976x = 684,445.24 × 269,619.88
  4. Step 4: Simplify right side
    495,976x = 184,540,043,475.37
  5. Step 5: Solve for x
    x = 184,540,043,475.37/495,976
  6. Step 6: Final answer
    x = 372,074.54

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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.