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Finding the Fourth Proportional to 280,009.70, 419,431.35 and 280,009.70

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Solution

The fourth proportional to 280,009.70, 419,431.35 and 280,009.70 is: 419,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,009.70 : 419,431.35 = 280,009.70 : x
  2. Step 2: Convert to fraction form
    280,009.70/419,431.35 = 280,009.70/x
  3. Step 3: Cross multiply
    280,009.70x = 419,431.35 × 280,009.70
  4. Step 4: Simplify right side
    280,009.70x = 117,444,846,484.10
  5. Step 5: Solve for x
    x = 117,444,846,484.10/280,009.70
  6. Step 6: Final answer
    x = 419,431.35

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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.