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Finding the Fourth Proportional to 389,968.80, 538,158.20 and 211,120.80

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Solution

The fourth proportional to 389,968.80, 538,158.20 and 211,120.80 is: 291,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,968.80 : 538,158.20 = 211,120.80 : x
  2. Step 2: Convert to fraction form
    389,968.80/538,158.20 = 211,120.80/x
  3. Step 3: Cross multiply
    389,968.80x = 538,158.20 × 211,120.80
  4. Step 4: Simplify right side
    389,968.80x = 113,616,389,710.56
  5. Step 5: Solve for x
    x = 113,616,389,710.56/389,968.80
  6. Step 6: Final answer
    x = 291,347.38

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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.