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Finding the Fourth Proportional to 280,171.40, 419,880.72 and 262,235.84

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Solution

The fourth proportional to 280,171.40, 419,880.72 and 262,235.84 is: 393,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,171.40 : 419,880.72 = 262,235.84 : x
  2. Step 2: Convert to fraction form
    280,171.40/419,880.72 = 262,235.84/x
  3. Step 3: Cross multiply
    280,171.40x = 419,880.72 × 262,235.84
  4. Step 4: Simplify right side
    280,171.40x = 110,107,773,309.01
  5. Step 5: Solve for x
    x = 110,107,773,309.01/280,171.40
  6. Step 6: Final answer
    x = 393,001.47

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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.