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Finding the Fourth Proportional to 428,991.51, 643,491.02 and 109,143.66

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Solution

The fourth proportional to 428,991.51, 643,491.02 and 109,143.66 is: 163,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,991.51 : 643,491.02 = 109,143.66 : x
  2. Step 2: Convert to fraction form
    428,991.51/643,491.02 = 109,143.66/x
  3. Step 3: Cross multiply
    428,991.51x = 643,491.02 × 109,143.66
  4. Step 4: Simplify right side
    428,991.51x = 70,232,965,099.93
  5. Step 5: Solve for x
    x = 70,232,965,099.93/428,991.51
  6. Step 6: Final answer
    x = 163,716.45

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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.