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Finding the Fourth Proportional to 505,272.86, 697,393.78 and 333,221.88

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Solution

The fourth proportional to 505,272.86, 697,393.78 and 333,221.88 is: 459,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,272.86 : 697,393.78 = 333,221.88 : x
  2. Step 2: Convert to fraction form
    505,272.86/697,393.78 = 333,221.88/x
  3. Step 3: Cross multiply
    505,272.86x = 697,393.78 × 333,221.88
  4. Step 4: Simplify right side
    505,272.86x = 232,386,866,471.91
  5. Step 5: Solve for x
    x = 232,386,866,471.91/505,272.86
  6. Step 6: Final answer
    x = 459,923.51

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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.