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Finding the Fourth Proportional to 278,199.41, 383,935.80 and 155,704.04

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Solution

The fourth proportional to 278,199.41, 383,935.80 and 155,704.04 is: 214,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,199.41 : 383,935.80 = 155,704.04 : x
  2. Step 2: Convert to fraction form
    278,199.41/383,935.80 = 155,704.04/x
  3. Step 3: Cross multiply
    278,199.41x = 383,935.80 × 155,704.04
  4. Step 4: Simplify right side
    278,199.41x = 59,780,353,240.95
  5. Step 5: Solve for x
    x = 59,780,353,240.95/278,199.41
  6. Step 6: Final answer
    x = 214,883.11

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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.