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Finding the Fourth Proportional to 270,359.30, 405,769.35 and 120,829.70

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Solution

The fourth proportional to 270,359.30, 405,769.35 and 120,829.70 is: 181,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,359.30 : 405,769.35 = 120,829.70 : x
  2. Step 2: Convert to fraction form
    270,359.30/405,769.35 = 120,829.70/x
  3. Step 3: Cross multiply
    270,359.30x = 405,769.35 × 120,829.70
  4. Step 4: Simplify right side
    270,359.30x = 49,028,988,829.70
  5. Step 5: Solve for x
    x = 49,028,988,829.70/270,359.30
  6. Step 6: Final answer
    x = 181,347.52

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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.