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Finding the Fourth Proportional to 428,897.57, 643,351.83 and 113,351.75

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Solution

The fourth proportional to 428,897.57, 643,351.83 and 113,351.75 is: 170,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,897.57 : 643,351.83 = 113,351.75 : x
  2. Step 2: Convert to fraction form
    428,897.57/643,351.83 = 113,351.75/x
  3. Step 3: Cross multiply
    428,897.57x = 643,351.83 × 113,351.75
  4. Step 4: Simplify right side
    428,897.57x = 72,925,055,796.20
  5. Step 5: Solve for x
    x = 72,925,055,796.20/428,897.57
  6. Step 6: Final answer
    x = 170,029.07

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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.