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Finding the Fourth Proportional to 428,903.64, 643,378.14 and 113,351.94

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Solution

The fourth proportional to 428,903.64, 643,378.14 and 113,351.94 is: 170,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,903.64 : 643,378.14 = 113,351.94 : x
  2. Step 2: Convert to fraction form
    428,903.64/643,378.14 = 113,351.94/x
  3. Step 3: Cross multiply
    428,903.64x = 643,378.14 × 113,351.94
  4. Step 4: Simplify right side
    428,903.64x = 72,928,160,322.59
  5. Step 5: Solve for x
    x = 72,928,160,322.59/428,903.64
  6. Step 6: Final answer
    x = 170,033.90

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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.