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Finding the Fourth Proportional to 270,455.10, 405,721.05 and 83,447.10

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Solution

The fourth proportional to 270,455.10, 405,721.05 and 83,447.10 is: 125,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,455.10 : 405,721.05 = 83,447.10 : x
  2. Step 2: Convert to fraction form
    270,455.10/405,721.05 = 83,447.10/x
  3. Step 3: Cross multiply
    270,455.10x = 405,721.05 × 83,447.10
  4. Step 4: Simplify right side
    270,455.10x = 33,856,245,031.46
  5. Step 5: Solve for x
    x = 33,856,245,031.46/270,455.10
  6. Step 6: Final answer
    x = 125,182.50

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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.