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Finding the Fourth Proportional to 428,963.81, 643,499.35 and 129,443.90

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Solution

The fourth proportional to 428,963.81, 643,499.35 and 129,443.90 is: 194,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,963.81 : 643,499.35 = 129,443.90 : x
  2. Step 2: Convert to fraction form
    428,963.81/643,499.35 = 129,443.90/x
  3. Step 3: Cross multiply
    428,963.81x = 643,499.35 × 129,443.90
  4. Step 4: Simplify right side
    428,963.81x = 83,297,061,970.36
  5. Step 5: Solve for x
    x = 83,297,061,970.36/428,963.81
  6. Step 6: Final answer
    x = 194,182.03

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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.