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Finding the Fourth Proportional to 428,273.72, 642,191.84 and 158,388.20

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Solution

The fourth proportional to 428,273.72, 642,191.84 and 158,388.20 is: 237,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,273.72 : 642,191.84 = 158,388.20 : x
  2. Step 2: Convert to fraction form
    428,273.72/642,191.84 = 158,388.20/x
  3. Step 3: Cross multiply
    428,273.72x = 642,191.84 × 158,388.20
  4. Step 4: Simplify right side
    428,273.72x = 101,715,609,592.29
  5. Step 5: Solve for x
    x = 101,715,609,592.29/428,273.72
  6. Step 6: Final answer
    x = 237,501.40

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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.