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Finding the Fourth Proportional to 345,967.78, 477,469.80 and 209,991.05

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Solution

The fourth proportional to 345,967.78, 477,469.80 and 209,991.05 is: 289,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,967.78 : 477,469.80 = 209,991.05 : x
  2. Step 2: Convert to fraction form
    345,967.78/477,469.80 = 209,991.05/x
  3. Step 3: Cross multiply
    345,967.78x = 477,469.80 × 209,991.05
  4. Step 4: Simplify right side
    345,967.78x = 100,264,383,595.34
  5. Step 5: Solve for x
    x = 100,264,383,595.34/345,967.78
  6. Step 6: Final answer
    x = 289,808.45

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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.