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Finding the Fourth Proportional to 389,995.98, 538,198 and 228,853.70

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Solution

The fourth proportional to 389,995.98, 538,198 and 228,853.70 is: 315,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,995.98 : 538,198 = 228,853.70 : x
  2. Step 2: Convert to fraction form
    389,995.98/538,198 = 228,853.70/x
  3. Step 3: Cross multiply
    389,995.98x = 538,198 × 228,853.70
  4. Step 4: Simplify right side
    389,995.98x = 123,168,603,632.60
  5. Step 5: Solve for x
    x = 123,168,603,632.60/389,995.98
  6. Step 6: Final answer
    x = 315,820.19

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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.