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Finding the Fourth Proportional to 505,263.58, 697,239.25 and 287,451.74

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Solution

The fourth proportional to 505,263.58, 697,239.25 and 287,451.74 is: 396,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,263.58 : 697,239.25 = 287,451.74 : x
  2. Step 2: Convert to fraction form
    505,263.58/697,239.25 = 287,451.74/x
  3. Step 3: Cross multiply
    505,263.58x = 697,239.25 × 287,451.74
  4. Step 4: Simplify right side
    505,263.58x = 200,422,635,608.80
  5. Step 5: Solve for x
    x = 200,422,635,608.80/505,263.58
  6. Step 6: Final answer
    x = 396,669.47

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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.