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Finding the Fourth Proportional to 505,487.68, 697,727.44 and 311,954.56

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Solution

The fourth proportional to 505,487.68, 697,727.44 and 311,954.56 is: 430,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,487.68 : 697,727.44 = 311,954.56 : x
  2. Step 2: Convert to fraction form
    505,487.68/697,727.44 = 311,954.56/x
  3. Step 3: Cross multiply
    505,487.68x = 697,727.44 × 311,954.56
  4. Step 4: Simplify right side
    505,487.68x = 217,659,256,545.13
  5. Step 5: Solve for x
    x = 217,659,256,545.13/505,487.68
  6. Step 6: Final answer
    x = 430,592.60

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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.