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Finding the Fourth Proportional to 505,265.78, 697,242.27 and 287,453.94

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Solution

The fourth proportional to 505,265.78, 697,242.27 and 287,453.94 is: 396,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,265.78 : 697,242.27 = 287,453.94 : x
  2. Step 2: Convert to fraction form
    505,265.78/697,242.27 = 287,453.94/x
  3. Step 3: Cross multiply
    505,265.78x = 697,242.27 × 287,453.94
  4. Step 4: Simplify right side
    505,265.78x = 200,425,037,646.04
  5. Step 5: Solve for x
    x = 200,425,037,646.04/505,265.78
  6. Step 6: Final answer
    x = 396,672.50

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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.