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Finding the Fourth Proportional to 666,991.64, 920,540.22 and 409,022.84

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Solution

The fourth proportional to 666,991.64, 920,540.22 and 409,022.84 is: 564,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,991.64 : 920,540.22 = 409,022.84 : x
  2. Step 2: Convert to fraction form
    666,991.64/920,540.22 = 409,022.84/x
  3. Step 3: Cross multiply
    666,991.64x = 920,540.22 × 409,022.84
  4. Step 4: Simplify right side
    666,991.64x = 376,521,975,118.63
  5. Step 5: Solve for x
    x = 376,521,975,118.63/666,991.64
  6. Step 6: Final answer
    x = 564,507.79

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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.