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Finding the Fourth Proportional to 280,369.86, 420,560.70 and 100,467.01

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Solution

The fourth proportional to 280,369.86, 420,560.70 and 100,467.01 is: 150,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,369.86 : 420,560.70 = 100,467.01 : x
  2. Step 2: Convert to fraction form
    280,369.86/420,560.70 = 100,467.01/x
  3. Step 3: Cross multiply
    280,369.86x = 420,560.70 × 100,467.01
  4. Step 4: Simplify right side
    280,369.86x = 42,252,476,052.51
  5. Step 5: Solve for x
    x = 42,252,476,052.51/280,369.86
  6. Step 6: Final answer
    x = 150,702.63

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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.