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Finding the Fourth Proportional to 272,231.76, 375,720.64 and 196,003.12

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Solution

The fourth proportional to 272,231.76, 375,720.64 and 196,003.12 is: 270,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,231.76 : 375,720.64 = 196,003.12 : x
  2. Step 2: Convert to fraction form
    272,231.76/375,720.64 = 196,003.12/x
  3. Step 3: Cross multiply
    272,231.76x = 375,720.64 × 196,003.12
  4. Step 4: Simplify right side
    272,231.76x = 73,642,417,688.40
  5. Step 5: Solve for x
    x = 73,642,417,688.40/272,231.76
  6. Step 6: Final answer
    x = 270,513.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.