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Finding the Fourth Proportional to 420,297.46, 629,603.97 and 398,220.82

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Solution

The fourth proportional to 420,297.46, 629,603.97 and 398,220.82 is: 596,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,297.46 : 629,603.97 = 398,220.82 : x
  2. Step 2: Convert to fraction form
    420,297.46/629,603.97 = 398,220.82/x
  3. Step 3: Cross multiply
    420,297.46x = 629,603.97 × 398,220.82
  4. Step 4: Simplify right side
    420,297.46x = 250,721,409,208.66
  5. Step 5: Solve for x
    x = 250,721,409,208.66/420,297.46
  6. Step 6: Final answer
    x = 596,533.25

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1.5x scale

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.