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Finding the Fourth Proportional to 272,029.10, 407,642.70 and 197,306.60

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Solution

The fourth proportional to 272,029.10, 407,642.70 and 197,306.60 is: 295,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,029.10 : 407,642.70 = 197,306.60 : x
  2. Step 2: Convert to fraction form
    272,029.10/407,642.70 = 197,306.60/x
  3. Step 3: Cross multiply
    272,029.10x = 407,642.70 × 197,306.60
  4. Step 4: Simplify right side
    272,029.10x = 80,430,595,151.82
  5. Step 5: Solve for x
    x = 80,430,595,151.82/272,029.10
  6. Step 6: Final answer
    x = 295,669.09

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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.