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Finding the Fourth Proportional to 505,310.64, 697,286.76 and 287,461.35

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Solution

The fourth proportional to 505,310.64, 697,286.76 and 287,461.35 is: 396,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,310.64 : 697,286.76 = 287,461.35 : x
  2. Step 2: Convert to fraction form
    505,310.64/697,286.76 = 287,461.35/x
  3. Step 3: Cross multiply
    505,310.64x = 697,286.76 × 287,461.35
  4. Step 4: Simplify right side
    505,310.64x = 200,442,993,366.73
  5. Step 5: Solve for x
    x = 200,442,993,366.73/505,310.64
  6. Step 6: Final answer
    x = 396,672.81

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1.5x scale

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.