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Finding the Fourth Proportional to 280,957.26, 421,436.28 and 114,745.26

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Solution

The fourth proportional to 280,957.26, 421,436.28 and 114,745.26 is: 172,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,957.26 : 421,436.28 = 114,745.26 : x
  2. Step 2: Convert to fraction form
    280,957.26/421,436.28 = 114,745.26/x
  3. Step 3: Cross multiply
    280,957.26x = 421,436.28 × 114,745.26
  4. Step 4: Simplify right side
    280,957.26x = 48,357,815,522.03
  5. Step 5: Solve for x
    x = 48,357,815,522.03/280,957.26
  6. Step 6: Final answer
    x = 172,118.05

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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.