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Finding the Fourth Proportional to 280,855.88, 421,196.30 and 93,823.64

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Solution

The fourth proportional to 280,855.88, 421,196.30 and 93,823.64 is: 140,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,855.88 : 421,196.30 = 93,823.64 : x
  2. Step 2: Convert to fraction form
    280,855.88/421,196.30 = 93,823.64/x
  3. Step 3: Cross multiply
    280,855.88x = 421,196.30 × 93,823.64
  4. Step 4: Simplify right side
    280,855.88x = 39,518,170,020.53
  5. Step 5: Solve for x
    x = 39,518,170,020.53/280,855.88
  6. Step 6: Final answer
    x = 140,706.22

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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.