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Finding the Fourth Proportional to 505,039.08, 696,996.72 and 290,253

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Solution

The fourth proportional to 505,039.08, 696,996.72 and 290,253 is: 400,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,039.08 : 696,996.72 = 290,253 : x
  2. Step 2: Convert to fraction form
    505,039.08/696,996.72 = 290,253/x
  3. Step 3: Cross multiply
    505,039.08x = 696,996.72 × 290,253
  4. Step 4: Simplify right side
    505,039.08x = 202,305,388,970.16
  5. Step 5: Solve for x
    x = 202,305,388,970.16/505,039.08
  6. Step 6: Final answer
    x = 400,573.73

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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.