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Finding the Fourth Proportional to 495,998.28, 684,482.46 and 269,648.64

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Solution

The fourth proportional to 495,998.28, 684,482.46 and 269,648.64 is: 372,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,998.28 : 684,482.46 = 269,648.64 : x
  2. Step 2: Convert to fraction form
    495,998.28/684,482.46 = 269,648.64/x
  3. Step 3: Cross multiply
    495,998.28x = 684,482.46 × 269,648.64
  4. Step 4: Simplify right side
    495,998.28x = 184,569,764,442.85
  5. Step 5: Solve for x
    x = 184,569,764,442.85/495,998.28
  6. Step 6: Final answer
    x = 372,117.75

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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.