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Finding the Fourth Proportional to 419,185, 578,474.34 and 228,199.72

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Solution

The fourth proportional to 419,185, 578,474.34 and 228,199.72 is: 314,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,185 : 578,474.34 = 228,199.72 : x
  2. Step 2: Convert to fraction form
    419,185/578,474.34 = 228,199.72/x
  3. Step 3: Cross multiply
    419,185x = 578,474.34 × 228,199.72
  4. Step 4: Simplify right side
    419,185x = 132,007,682,415.19
  5. Step 5: Solve for x
    x = 132,007,682,415.19/419,185
  6. Step 6: Final answer
    x = 314,915.09

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1.5x scale

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.