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Finding the Fourth Proportional to 280,955.25, 421,433.28 and 114,743.25

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Solution

The fourth proportional to 280,955.25, 421,433.28 and 114,743.25 is: 172,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,955.25 : 421,433.28 = 114,743.25 : x
  2. Step 2: Convert to fraction form
    280,955.25/421,433.28 = 114,743.25/x
  3. Step 3: Cross multiply
    280,955.25x = 421,433.28 × 114,743.25
  4. Step 4: Simplify right side
    280,955.25x = 48,356,624,205.36
  5. Step 5: Solve for x
    x = 48,356,624,205.36/280,955.25
  6. Step 6: Final answer
    x = 172,115.04

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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.