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Finding the Fourth Proportional to 345,872.70, 477,231.75 and 209,978.19

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Solution

The fourth proportional to 345,872.70, 477,231.75 and 209,978.19 is: 289,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,872.70 : 477,231.75 = 209,978.19 : x
  2. Step 2: Convert to fraction form
    345,872.70/477,231.75 = 209,978.19/x
  3. Step 3: Cross multiply
    345,872.70x = 477,231.75 × 209,978.19
  4. Step 4: Simplify right side
    345,872.70x = 100,208,259,075.53
  5. Step 5: Solve for x
    x = 100,208,259,075.53/345,872.70
  6. Step 6: Final answer
    x = 289,725.84

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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.