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Finding the Fourth Proportional to 419,074.98, 578,321.82 and 228,089.94

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Solution

The fourth proportional to 419,074.98, 578,321.82 and 228,089.94 is: 314,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,074.98 : 578,321.82 = 228,089.94 : x
  2. Step 2: Convert to fraction form
    419,074.98/578,321.82 = 228,089.94/x
  3. Step 3: Cross multiply
    419,074.98x = 578,321.82 × 228,089.94
  4. Step 4: Simplify right side
    419,074.98x = 131,909,389,224.49
  5. Step 5: Solve for x
    x = 131,909,389,224.49/419,074.98
  6. Step 6: Final answer
    x = 314,763.22

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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.