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Finding the Fourth Proportional to 272,194.70, 407,989.51 and 205,418.30

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Solution

The fourth proportional to 272,194.70, 407,989.51 and 205,418.30 is: 307,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,194.70 : 407,989.51 = 205,418.30 : x
  2. Step 2: Convert to fraction form
    272,194.70/407,989.51 = 205,418.30/x
  3. Step 3: Cross multiply
    272,194.70x = 407,989.51 × 205,418.30
  4. Step 4: Simplify right side
    272,194.70x = 83,808,509,008.54
  5. Step 5: Solve for x
    x = 83,808,509,008.54/272,194.70
  6. Step 6: Final answer
    x = 307,899.13

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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.