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Finding the Fourth Proportional to 505,096.22, 697,004.85 and 287,275.47

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Solution

The fourth proportional to 505,096.22, 697,004.85 and 287,275.47 is: 396,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,096.22 : 697,004.85 = 287,275.47 : x
  2. Step 2: Convert to fraction form
    505,096.22/697,004.85 = 287,275.47/x
  3. Step 3: Cross multiply
    505,096.22x = 697,004.85 × 287,275.47
  4. Step 4: Simplify right side
    505,096.22x = 200,232,394,339.54
  5. Step 5: Solve for x
    x = 200,232,394,339.54/505,096.22
  6. Step 6: Final answer
    x = 396,424.26

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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.