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Finding the Fourth Proportional to 505,463.86, 697,659.78 and 290,728

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Solution

The fourth proportional to 505,463.86, 697,659.78 and 290,728 is: 401,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,463.86 : 697,659.78 = 290,728 : x
  2. Step 2: Convert to fraction form
    505,463.86/697,659.78 = 290,728/x
  3. Step 3: Cross multiply
    505,463.86x = 697,659.78 × 290,728
  4. Step 4: Simplify right side
    505,463.86x = 202,829,232,519.84
  5. Step 5: Solve for x
    x = 202,829,232,519.84/505,463.86
  6. Step 6: Final answer
    x = 401,273.46

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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.