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Finding the Fourth Proportional to 495,887.78, 684,310.76 and 281,047.70

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Solution

The fourth proportional to 495,887.78, 684,310.76 and 281,047.70 is: 387,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,887.78 : 684,310.76 = 281,047.70 : x
  2. Step 2: Convert to fraction form
    495,887.78/684,310.76 = 281,047.70/x
  3. Step 3: Cross multiply
    495,887.78x = 684,310.76 × 281,047.70
  4. Step 4: Simplify right side
    495,887.78x = 192,323,965,183.25
  5. Step 5: Solve for x
    x = 192,323,965,183.25/495,887.78
  6. Step 6: Final answer
    x = 387,837.68

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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.