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Finding the Fourth Proportional to 389,390.36, 584,082.90 and 209,560.41

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Solution

The fourth proportional to 389,390.36, 584,082.90 and 209,560.41 is: 314,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,390.36 : 584,082.90 = 209,560.41 : x
  2. Step 2: Convert to fraction form
    389,390.36/584,082.90 = 209,560.41/x
  3. Step 3: Cross multiply
    389,390.36x = 584,082.90 × 209,560.41
  4. Step 4: Simplify right side
    389,390.36x = 122,400,651,997.99
  5. Step 5: Solve for x
    x = 122,400,651,997.99/389,390.36
  6. Step 6: Final answer
    x = 314,339.20

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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.