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Finding the Fourth Proportional to 495,794.28, 684,201.42 and 269,439.78

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Solution

The fourth proportional to 495,794.28, 684,201.42 and 269,439.78 is: 371,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,794.28 : 684,201.42 = 269,439.78 : x
  2. Step 2: Convert to fraction form
    495,794.28/684,201.42 = 269,439.78/x
  3. Step 3: Cross multiply
    495,794.28x = 684,201.42 × 269,439.78
  4. Step 4: Simplify right side
    495,794.28x = 184,351,080,080.49
  5. Step 5: Solve for x
    x = 184,351,080,080.49/495,794.28
  6. Step 6: Final answer
    x = 371,829.78

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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.