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Finding the Fourth Proportional to 345,059.70, 476,204.14 and 209,105.54

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Solution

The fourth proportional to 345,059.70, 476,204.14 and 209,105.54 is: 288,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,059.70 : 476,204.14 = 209,105.54 : x
  2. Step 2: Convert to fraction form
    345,059.70/476,204.14 = 209,105.54/x
  3. Step 3: Cross multiply
    345,059.70x = 476,204.14 × 209,105.54
  4. Step 4: Simplify right side
    345,059.70x = 99,576,920,941.15
  5. Step 5: Solve for x
    x = 99,576,920,941.15/345,059.70
  6. Step 6: Final answer
    x = 288,578.82

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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.