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Finding the Fourth Proportional to 270,350.90, 405,554.10 and 102,012.90

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Solution

The fourth proportional to 270,350.90, 405,554.10 and 102,012.90 is: 153,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,350.90 : 405,554.10 = 102,012.90 : x
  2. Step 2: Convert to fraction form
    270,350.90/405,554.10 = 102,012.90/x
  3. Step 3: Cross multiply
    270,350.90x = 405,554.10 × 102,012.90
  4. Step 4: Simplify right side
    270,350.90x = 41,371,749,847.89
  5. Step 5: Solve for x
    x = 41,371,749,847.89/270,350.90
  6. Step 6: Final answer
    x = 153,029.82

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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.