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Finding the Fourth Proportional to 495,879.12, 684,309.78 and 269,524.62

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Solution

The fourth proportional to 495,879.12, 684,309.78 and 269,524.62 is: 371,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,879.12 : 684,309.78 = 269,524.62 : x
  2. Step 2: Convert to fraction form
    495,879.12/684,309.78 = 269,524.62/x
  3. Step 3: Cross multiply
    495,879.12x = 684,309.78 × 269,524.62
  4. Step 4: Simplify right side
    495,879.12x = 184,438,333,416.78
  5. Step 5: Solve for x
    x = 184,438,333,416.78/495,879.12
  6. Step 6: Final answer
    x = 371,942.12

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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.