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Finding the Fourth Proportional to 428,906.60, 643,365.30 and 113,360.72

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Solution

The fourth proportional to 428,906.60, 643,365.30 and 113,360.72 is: 170,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,906.60 : 643,365.30 = 113,360.72 : x
  2. Step 2: Convert to fraction form
    428,906.60/643,365.30 = 113,360.72/x
  3. Step 3: Cross multiply
    428,906.60x = 643,365.30 × 113,360.72
  4. Step 4: Simplify right side
    428,906.60x = 72,932,353,631.02
  5. Step 5: Solve for x
    x = 72,932,353,631.02/428,906.60
  6. Step 6: Final answer
    x = 170,042.51

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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.