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Finding the Fourth Proportional to 389,014.08, 536,832 and 219,244.80

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Solution

The fourth proportional to 389,014.08, 536,832 and 219,244.80 is: 302,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,014.08 : 536,832 = 219,244.80 : x
  2. Step 2: Convert to fraction form
    389,014.08/536,832 = 219,244.80/x
  3. Step 3: Cross multiply
    389,014.08x = 536,832 × 219,244.80
  4. Step 4: Simplify right side
    389,014.08x = 117,697,624,473.60
  5. Step 5: Solve for x
    x = 117,697,624,473.60/389,014.08
  6. Step 6: Final answer
    x = 302,553.64

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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.