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Finding the Fourth Proportional to 419,408.42, 578,790.22 and 228,421.66

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Solution

The fourth proportional to 419,408.42, 578,790.22 and 228,421.66 is: 315,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,408.42 : 578,790.22 = 228,421.66 : x
  2. Step 2: Convert to fraction form
    419,408.42/578,790.22 = 228,421.66/x
  3. Step 3: Cross multiply
    419,408.42x = 578,790.22 × 228,421.66
  4. Step 4: Simplify right side
    419,408.42x = 132,208,222,844.17
  5. Step 5: Solve for x
    x = 132,208,222,844.17/419,408.42
  6. Step 6: Final answer
    x = 315,225.49

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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.