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Finding the Fourth Proportional to 505,291.20, 697,314.54 and 287,487.88

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Solution

The fourth proportional to 505,291.20, 697,314.54 and 287,487.88 is: 396,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,291.20 : 697,314.54 = 287,487.88 : x
  2. Step 2: Convert to fraction form
    505,291.20/697,314.54 = 287,487.88/x
  3. Step 3: Cross multiply
    505,291.20x = 697,314.54 × 287,487.88
  4. Step 4: Simplify right side
    505,291.20x = 200,469,478,797.78
  5. Step 5: Solve for x
    x = 200,469,478,797.78/505,291.20
  6. Step 6: Final answer
    x = 396,740.49

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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.