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Finding the Fourth Proportional to 345,884.80, 477,239.64 and 209,915.68

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Solution

The fourth proportional to 345,884.80, 477,239.64 and 209,915.68 is: 289,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,884.80 : 477,239.64 = 209,915.68 : x
  2. Step 2: Convert to fraction form
    345,884.80/477,239.64 = 209,915.68/x
  3. Step 3: Cross multiply
    345,884.80x = 477,239.64 × 209,915.68
  4. Step 4: Simplify right side
    345,884.80x = 100,180,083,553.56
  5. Step 5: Solve for x
    x = 100,180,083,553.56/345,884.80
  6. Step 6: Final answer
    x = 289,634.25

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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.