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Finding the Fourth Proportional to 419,212.88, 578,515.14 and 228,227.64

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Solution

The fourth proportional to 419,212.88, 578,515.14 and 228,227.64 is: 314,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,212.88 : 578,515.14 = 228,227.64 : x
  2. Step 2: Convert to fraction form
    419,212.88/578,515.14 = 228,227.64/x
  3. Step 3: Cross multiply
    419,212.88x = 578,515.14 × 228,227.64
  4. Step 4: Simplify right side
    419,212.88x = 132,033,145,106.47
  5. Step 5: Solve for x
    x = 132,033,145,106.47/419,212.88
  6. Step 6: Final answer
    x = 314,954.89

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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.