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Finding the Fourth Proportional to 650,716.64, 897,724.32 and 408,921.92

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Solution

The fourth proportional to 650,716.64, 897,724.32 and 408,921.92 is: 564,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,716.64 : 897,724.32 = 408,921.92 : x
  2. Step 2: Convert to fraction form
    650,716.64/897,724.32 = 408,921.92/x
  3. Step 3: Cross multiply
    650,716.64x = 897,724.32 × 408,921.92
  4. Step 4: Simplify right side
    650,716.64x = 367,099,152,565.09
  5. Step 5: Solve for x
    x = 367,099,152,565.09/650,716.64
  6. Step 6: Final answer
    x = 564,145.94

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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.