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Finding the Fourth Proportional to 727,378, 1,091,105.88 and 228,780.88

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Solution

The fourth proportional to 727,378, 1,091,105.88 and 228,780.88 is: 343,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,378 : 1,091,105.88 = 228,780.88 : x
  2. Step 2: Convert to fraction form
    727,378/1,091,105.88 = 228,780.88/x
  3. Step 3: Cross multiply
    727,378x = 1,091,105.88 × 228,780.88
  4. Step 4: Simplify right side
    727,378x = 249,624,163,399.57
  5. Step 5: Solve for x
    x = 249,624,163,399.57/727,378
  6. Step 6: Final answer
    x = 343,183.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.