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Finding the Fourth Proportional to 270,351.90, 405,555.60 and 102,013.90

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Solution

The fourth proportional to 270,351.90, 405,555.60 and 102,013.90 is: 153,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,351.90 : 405,555.60 = 102,013.90 : x
  2. Step 2: Convert to fraction form
    270,351.90/405,555.60 = 102,013.90/x
  3. Step 3: Cross multiply
    270,351.90x = 405,555.60 × 102,013.90
  4. Step 4: Simplify right side
    270,351.90x = 41,372,308,422.84
  5. Step 5: Solve for x
    x = 41,372,308,422.84/270,351.90
  6. Step 6: Final answer
    x = 153,031.32

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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.