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Finding the Fourth Proportional to 389,057.16, 536,903 and 219,291.28

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Solution

The fourth proportional to 389,057.16, 536,903 and 219,291.28 is: 302,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,057.16 : 536,903 = 219,291.28 : x
  2. Step 2: Convert to fraction form
    389,057.16/536,903 = 219,291.28/x
  3. Step 3: Cross multiply
    389,057.16x = 536,903 × 219,291.28
  4. Step 4: Simplify right side
    389,057.16x = 117,738,146,105.84
  5. Step 5: Solve for x
    x = 117,738,146,105.84/389,057.16
  6. Step 6: Final answer
    x = 302,624.29

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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.