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Finding the Fourth Proportional to 428,978.57, 643,472.44 and 129,461.83

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Solution

The fourth proportional to 428,978.57, 643,472.44 and 129,461.83 is: 194,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,978.57 : 643,472.44 = 129,461.83 : x
  2. Step 2: Convert to fraction form
    428,978.57/643,472.44 = 129,461.83/x
  3. Step 3: Cross multiply
    428,978.57x = 643,472.44 × 129,461.83
  4. Step 4: Simplify right side
    428,978.57x = 83,305,117,704.63
  5. Step 5: Solve for x
    x = 83,305,117,704.63/428,978.57
  6. Step 6: Final answer
    x = 194,194.13

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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.