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Finding the Fourth Proportional to 493,697.08, 680,792.34 and 422,313.40

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Solution

The fourth proportional to 493,697.08, 680,792.34 and 422,313.40 is: 582,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,697.08 : 680,792.34 = 422,313.40 : x
  2. Step 2: Convert to fraction form
    493,697.08/680,792.34 = 422,313.40/x
  3. Step 3: Cross multiply
    493,697.08x = 680,792.34 × 422,313.40
  4. Step 4: Simplify right side
    493,697.08x = 287,507,727,799.36
  5. Step 5: Solve for x
    x = 287,507,727,799.36/493,697.08
  6. Step 6: Final answer
    x = 582,356.55

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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.