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Finding the Fourth Proportional to 389,940.20, 584,910.30 and 109,457.45

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Solution

The fourth proportional to 389,940.20, 584,910.30 and 109,457.45 is: 164,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,940.20 : 584,910.30 = 109,457.45 : x
  2. Step 2: Convert to fraction form
    389,940.20/584,910.30 = 109,457.45/x
  3. Step 3: Cross multiply
    389,940.20x = 584,910.30 × 109,457.45
  4. Step 4: Simplify right side
    389,940.20x = 64,022,789,916.74
  5. Step 5: Solve for x
    x = 64,022,789,916.74/389,940.20
  6. Step 6: Final answer
    x = 164,186.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.