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Finding the Fourth Proportional to 409,271.70, 613,907.55 and 379,747.20

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Solution

The fourth proportional to 409,271.70, 613,907.55 and 379,747.20 is: 569,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,271.70 : 613,907.55 = 379,747.20 : x
  2. Step 2: Convert to fraction form
    409,271.70/613,907.55 = 379,747.20/x
  3. Step 3: Cross multiply
    409,271.70x = 613,907.55 × 379,747.20
  4. Step 4: Simplify right side
    409,271.70x = 233,129,673,171.36
  5. Step 5: Solve for x
    x = 233,129,673,171.36/409,271.70
  6. Step 6: Final answer
    x = 569,620.80

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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.