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Finding the Fourth Proportional to 389,119.60, 536,977.84 and 219,353.84

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Solution

The fourth proportional to 389,119.60, 536,977.84 and 219,353.84 is: 302,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,119.60 : 536,977.84 = 219,353.84 : x
  2. Step 2: Convert to fraction form
    389,119.60/536,977.84 = 219,353.84/x
  3. Step 3: Cross multiply
    389,119.60x = 536,977.84 × 219,353.84
  4. Step 4: Simplify right side
    389,119.60x = 117,788,151,198.91
  5. Step 5: Solve for x
    x = 117,788,151,198.91/389,119.60
  6. Step 6: Final answer
    x = 302,704.24

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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.