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Finding the Fourth Proportional to 505,564.68, 697,716 and 290,772.12

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Solution

The fourth proportional to 505,564.68, 697,716 and 290,772.12 is: 401,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,564.68 : 697,716 = 290,772.12 : x
  2. Step 2: Convert to fraction form
    505,564.68/697,716 = 290,772.12/x
  3. Step 3: Cross multiply
    505,564.68x = 697,716 × 290,772.12
  4. Step 4: Simplify right side
    505,564.68x = 202,876,360,477.92
  5. Step 5: Solve for x
    x = 202,876,360,477.92/505,564.68
  6. Step 6: Final answer
    x = 401,286.66

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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.