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Finding the Fourth Proportional to 280,859.40, 421,289.10 and 122,920.20

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Solution

The fourth proportional to 280,859.40, 421,289.10 and 122,920.20 is: 184,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,859.40 : 421,289.10 = 122,920.20 : x
  2. Step 2: Convert to fraction form
    280,859.40/421,289.10 = 122,920.20/x
  3. Step 3: Cross multiply
    280,859.40x = 421,289.10 × 122,920.20
  4. Step 4: Simplify right side
    280,859.40x = 51,784,940,429.82
  5. Step 5: Solve for x
    x = 51,784,940,429.82/280,859.40
  6. Step 6: Final answer
    x = 184,380.30

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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.