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Finding the Fourth Proportional to 428,320.25, 642,028.25 and 143,740.97

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Solution

The fourth proportional to 428,320.25, 642,028.25 and 143,740.97 is: 215,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,320.25 : 642,028.25 = 143,740.97 : x
  2. Step 2: Convert to fraction form
    428,320.25/642,028.25 = 143,740.97/x
  3. Step 3: Cross multiply
    428,320.25x = 642,028.25 × 143,740.97
  4. Step 4: Simplify right side
    428,320.25x = 92,285,760,212.26
  5. Step 5: Solve for x
    x = 92,285,760,212.26/428,320.25
  6. Step 6: Final answer
    x = 215,459.72

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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.