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Finding the Fourth Proportional to 280,819, 421,302.26 and 100,922.58

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Solution

The fourth proportional to 280,819, 421,302.26 and 100,922.58 is: 151,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,819 : 421,302.26 = 100,922.58 : x
  2. Step 2: Convert to fraction form
    280,819/421,302.26 = 100,922.58/x
  3. Step 3: Cross multiply
    280,819x = 421,302.26 × 100,922.58
  4. Step 4: Simplify right side
    280,819x = 42,518,911,039.03
  5. Step 5: Solve for x
    x = 42,518,911,039.03/280,819
  6. Step 6: Final answer
    x = 151,410.38

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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.