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Finding the Fourth Proportional to 272,016.64, 407,774.76 and 145,743.76

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Solution

The fourth proportional to 272,016.64, 407,774.76 and 145,743.76 is: 218,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,016.64 : 407,774.76 = 145,743.76 : x
  2. Step 2: Convert to fraction form
    272,016.64/407,774.76 = 145,743.76/x
  3. Step 3: Cross multiply
    272,016.64x = 407,774.76 × 145,743.76
  4. Step 4: Simplify right side
    272,016.64x = 59,430,626,755.50
  5. Step 5: Solve for x
    x = 59,430,626,755.50/272,016.64
  6. Step 6: Final answer
    x = 218,481.59

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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.