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Finding the Fourth Proportional to 495,806.16, 684,198.36 and 281,015.76

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Solution

The fourth proportional to 495,806.16, 684,198.36 and 281,015.76 is: 387,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,806.16 : 684,198.36 = 281,015.76 : x
  2. Step 2: Convert to fraction form
    495,806.16/684,198.36 = 281,015.76/x
  3. Step 3: Cross multiply
    495,806.16x = 684,198.36 × 281,015.76
  4. Step 4: Simplify right side
    495,806.16x = 192,270,522,126.15
  5. Step 5: Solve for x
    x = 192,270,522,126.15/495,806.16
  6. Step 6: Final answer
    x = 387,793.73

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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.