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Finding the Fourth Proportional to 505,372.46, 697,475.16 and 287,634.08

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Solution

The fourth proportional to 505,372.46, 697,475.16 and 287,634.08 is: 396,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,372.46 : 697,475.16 = 287,634.08 : x
  2. Step 2: Convert to fraction form
    505,372.46/697,475.16 = 287,634.08/x
  3. Step 3: Cross multiply
    505,372.46x = 697,475.16 × 287,634.08
  4. Step 4: Simplify right side
    505,372.46x = 200,617,625,969.45
  5. Step 5: Solve for x
    x = 200,617,625,969.45/505,372.46
  6. Step 6: Final answer
    x = 396,969.84

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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.