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Finding the Fourth Proportional to 428,906.83, 643,364.86 and 129,390.01

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Solution

The fourth proportional to 428,906.83, 643,364.86 and 129,390.01 is: 194,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,906.83 : 643,364.86 = 129,390.01 : x
  2. Step 2: Convert to fraction form
    428,906.83/643,364.86 = 129,390.01/x
  3. Step 3: Cross multiply
    428,906.83x = 643,364.86 × 129,390.01
  4. Step 4: Simplify right side
    428,906.83x = 83,244,985,669.05
  5. Step 5: Solve for x
    x = 83,244,985,669.05/428,906.83
  6. Step 6: Final answer
    x = 194,086.41

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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.