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Finding the Fourth Proportional to 495,858.87, 684,282.60 and 281,039.58

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Solution

The fourth proportional to 495,858.87, 684,282.60 and 281,039.58 is: 387,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,858.87 : 684,282.60 = 281,039.58 : x
  2. Step 2: Convert to fraction form
    495,858.87/684,282.60 = 281,039.58/x
  3. Step 3: Cross multiply
    495,858.87x = 684,282.60 × 281,039.58
  4. Step 4: Simplify right side
    495,858.87x = 192,310,494,505.31
  5. Step 5: Solve for x
    x = 192,310,494,505.31/495,858.87
  6. Step 6: Final answer
    x = 387,833.12

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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.