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Finding the Fourth Proportional to 428,273.32, 642,210.54 and 191,617.96

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Solution

The fourth proportional to 428,273.32, 642,210.54 and 191,617.96 is: 287,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,273.32 : 642,210.54 = 191,617.96 : x
  2. Step 2: Convert to fraction form
    428,273.32/642,210.54 = 191,617.96/x
  3. Step 3: Cross multiply
    428,273.32x = 642,210.54 × 191,617.96
  4. Step 4: Simplify right side
    428,273.32x = 123,059,073,565.30
  5. Step 5: Solve for x
    x = 123,059,073,565.30/428,273.32
  6. Step 6: Final answer
    x = 287,337.71

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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.