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Finding the Fourth Proportional to 390,126.39, 538,418.21 and 220,371.45

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Solution

The fourth proportional to 390,126.39, 538,418.21 and 220,371.45 is: 304,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,126.39 : 538,418.21 = 220,371.45 : x
  2. Step 2: Convert to fraction form
    390,126.39/538,418.21 = 220,371.45/x
  3. Step 3: Cross multiply
    390,126.39x = 538,418.21 × 220,371.45
  4. Step 4: Simplify right side
    390,126.39x = 118,652,000,542.25
  5. Step 5: Solve for x
    x = 118,652,000,542.25/390,126.39
  6. Step 6: Final answer
    x = 304,137.33

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1.5x scale

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.