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Finding the Fourth Proportional to 370,137.48, 510,791.35 and 200,371.60

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Solution

The fourth proportional to 370,137.48, 510,791.35 and 200,371.60 is: 276,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,137.48 : 510,791.35 = 200,371.60 : x
  2. Step 2: Convert to fraction form
    370,137.48/510,791.35 = 200,371.60/x
  3. Step 3: Cross multiply
    370,137.48x = 510,791.35 × 200,371.60
  4. Step 4: Simplify right side
    370,137.48x = 102,348,080,065.66
  5. Step 5: Solve for x
    x = 102,348,080,065.66/370,137.48
  6. Step 6: Final answer
    x = 276,513.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.