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Finding the Fourth Proportional to 428,535.54, 642,796.16 and 104,327.06

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Solution

The fourth proportional to 428,535.54, 642,796.16 and 104,327.06 is: 156,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,535.54 : 642,796.16 = 104,327.06 : x
  2. Step 2: Convert to fraction form
    428,535.54/642,796.16 = 104,327.06/x
  3. Step 3: Cross multiply
    428,535.54x = 642,796.16 × 104,327.06
  4. Step 4: Simplify right side
    428,535.54x = 67,061,029,816.47
  5. Step 5: Solve for x
    x = 67,061,029,816.47/428,535.54
  6. Step 6: Final answer
    x = 156,488.84

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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.