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Finding the Fourth Proportional to 389,969.10, 584,953.65 and 239,722.20

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Solution

The fourth proportional to 389,969.10, 584,953.65 and 239,722.20 is: 359,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,969.10 : 584,953.65 = 239,722.20 : x
  2. Step 2: Convert to fraction form
    389,969.10/584,953.65 = 239,722.20/x
  3. Step 3: Cross multiply
    389,969.10x = 584,953.65 × 239,722.20
  4. Step 4: Simplify right side
    389,969.10x = 140,226,375,876.03
  5. Step 5: Solve for x
    x = 140,226,375,876.03/389,969.10
  6. Step 6: Final answer
    x = 359,583.30

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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.