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Finding the Fourth Proportional to 428,797.22, 643,288.70 and 129,252.74

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Solution

The fourth proportional to 428,797.22, 643,288.70 and 129,252.74 is: 193,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,797.22 : 643,288.70 = 129,252.74 : x
  2. Step 2: Convert to fraction form
    428,797.22/643,288.70 = 129,252.74/x
  3. Step 3: Cross multiply
    428,797.22x = 643,288.70 × 129,252.74
  4. Step 4: Simplify right side
    428,797.22x = 83,146,827,086.04
  5. Step 5: Solve for x
    x = 83,146,827,086.04/428,797.22
  6. Step 6: Final answer
    x = 193,907.10

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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.