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Finding the Fourth Proportional to 315,031.44, 472,012.56 and 190,110

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Solution

The fourth proportional to 315,031.44, 472,012.56 and 190,110 is: 284,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,031.44 : 472,012.56 = 190,110 : x
  2. Step 2: Convert to fraction form
    315,031.44/472,012.56 = 190,110/x
  3. Step 3: Cross multiply
    315,031.44x = 472,012.56 × 190,110
  4. Step 4: Simplify right side
    315,031.44x = 89,734,307,781.60
  5. Step 5: Solve for x
    x = 89,734,307,781.60/315,031.44
  6. Step 6: Final answer
    x = 284,842.39

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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.