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Finding the Fourth Proportional to 428,149.67, 642,298.73 and 143,867.97

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Solution

The fourth proportional to 428,149.67, 642,298.73 and 143,867.97 is: 215,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,149.67 : 642,298.73 = 143,867.97 : x
  2. Step 2: Convert to fraction form
    428,149.67/642,298.73 = 143,867.97/x
  3. Step 3: Cross multiply
    428,149.67x = 642,298.73 × 143,867.97
  4. Step 4: Simplify right side
    428,149.67x = 92,406,213,699.34
  5. Step 5: Solve for x
    x = 92,406,213,699.34/428,149.67
  6. Step 6: Final answer
    x = 215,826.90

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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.