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Finding the Fourth Proportional to 419,407.41, 578,788.84 and 228,420.66

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Solution

The fourth proportional to 419,407.41, 578,788.84 and 228,420.66 is: 315,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,407.41 : 578,788.84 = 228,420.66 : x
  2. Step 2: Convert to fraction form
    419,407.41/578,788.84 = 228,420.66/x
  3. Step 3: Cross multiply
    419,407.41x = 578,788.84 × 228,420.66
  4. Step 4: Simplify right side
    419,407.41x = 132,207,328,833.43
  5. Step 5: Solve for x
    x = 132,207,328,833.43/419,407.41
  6. Step 6: Final answer
    x = 315,224.11

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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.