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Finding the Fourth Proportional to 280,847.70, 421,271.55 and 258,977.70

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Solution

The fourth proportional to 280,847.70, 421,271.55 and 258,977.70 is: 388,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,847.70 : 421,271.55 = 258,977.70 : x
  2. Step 2: Convert to fraction form
    280,847.70/421,271.55 = 258,977.70/x
  3. Step 3: Cross multiply
    280,847.70x = 421,271.55 × 258,977.70
  4. Step 4: Simplify right side
    280,847.70x = 109,099,937,094.44
  5. Step 5: Solve for x
    x = 109,099,937,094.44/280,847.70
  6. Step 6: Final answer
    x = 388,466.55

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1.5x scale

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.