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Finding the Fourth Proportional to 472,998.59, 709,719.32 and 206,724.51

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Solution

The fourth proportional to 472,998.59, 709,719.32 and 206,724.51 is: 310,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,998.59 : 709,719.32 = 206,724.51 : x
  2. Step 2: Convert to fraction form
    472,998.59/709,719.32 = 206,724.51/x
  3. Step 3: Cross multiply
    472,998.59x = 709,719.32 × 206,724.51
  4. Step 4: Simplify right side
    472,998.59x = 146,716,374,082.31
  5. Step 5: Solve for x
    x = 146,716,374,082.31/472,998.59
  6. Step 6: Final answer
    x = 310,183.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.