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Finding the Fourth Proportional to 389,069.68, 536,916 and 210,221.68

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Solution

The fourth proportional to 389,069.68, 536,916 and 210,221.68 is: 290,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,069.68 : 536,916 = 210,221.68 : x
  2. Step 2: Convert to fraction form
    389,069.68/536,916 = 210,221.68/x
  3. Step 3: Cross multiply
    389,069.68x = 536,916 × 210,221.68
  4. Step 4: Simplify right side
    389,069.68x = 112,871,383,538.88
  5. Step 5: Solve for x
    x = 112,871,383,538.88/389,069.68
  6. Step 6: Final answer
    x = 290,105.83

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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.