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Finding the Fourth Proportional to 418,950.80, 629,738.40 and 411,077.60

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Solution

The fourth proportional to 418,950.80, 629,738.40 and 411,077.60 is: 617,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,950.80 : 629,738.40 = 411,077.60 : x
  2. Step 2: Convert to fraction form
    418,950.80/629,738.40 = 411,077.60/x
  3. Step 3: Cross multiply
    418,950.80x = 629,738.40 × 411,077.60
  4. Step 4: Simplify right side
    418,950.80x = 258,871,350,099.84
  5. Step 5: Solve for x
    x = 258,871,350,099.84/418,950.80
  6. Step 6: Final answer
    x = 617,903.94

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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.