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Finding the Fourth Proportional to 495,886.78, 684,309.38 and 281,046.70

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Solution

The fourth proportional to 495,886.78, 684,309.38 and 281,046.70 is: 387,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,886.78 : 684,309.38 = 281,046.70 : x
  2. Step 2: Convert to fraction form
    495,886.78/684,309.38 = 281,046.70/x
  3. Step 3: Cross multiply
    495,886.78x = 684,309.38 × 281,046.70
  4. Step 4: Simplify right side
    495,886.78x = 192,322,893,028.05
  5. Step 5: Solve for x
    x = 192,322,893,028.05/495,886.78
  6. Step 6: Final answer
    x = 387,836.30

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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.