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Finding the Fourth Proportional to 280,044.41, 420,020.44 and 120,146.15

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Solution

The fourth proportional to 280,044.41, 420,020.44 and 120,146.15 is: 180,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,044.41 : 420,020.44 = 120,146.15 : x
  2. Step 2: Convert to fraction form
    280,044.41/420,020.44 = 120,146.15/x
  3. Step 3: Cross multiply
    280,044.41x = 420,020.44 × 120,146.15
  4. Step 4: Simplify right side
    280,044.41x = 50,463,839,536.99
  5. Step 5: Solve for x
    x = 50,463,839,536.99/280,044.41
  6. Step 6: Final answer
    x = 180,199.42

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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.