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Finding the Fourth Proportional to 270,609.12, 405,866.16 and 83,622.24

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Solution

The fourth proportional to 270,609.12, 405,866.16 and 83,622.24 is: 125,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,609.12 : 405,866.16 = 83,622.24 : x
  2. Step 2: Convert to fraction form
    270,609.12/405,866.16 = 83,622.24/x
  3. Step 3: Cross multiply
    270,609.12x = 405,866.16 × 83,622.24
  4. Step 4: Simplify right side
    270,609.12x = 33,939,437,439.40
  5. Step 5: Solve for x
    x = 33,939,437,439.40/270,609.12
  6. Step 6: Final answer
    x = 125,418.68

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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.