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Finding the Fourth Proportional to 280,085.96, 420,019.32 and 122,207.24

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Solution

The fourth proportional to 280,085.96, 420,019.32 and 122,207.24 is: 183,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,085.96 : 420,019.32 = 122,207.24 : x
  2. Step 2: Convert to fraction form
    280,085.96/420,019.32 = 122,207.24/x
  3. Step 3: Cross multiply
    280,085.96x = 420,019.32 × 122,207.24
  4. Step 4: Simplify right side
    280,085.96x = 51,329,401,843.88
  5. Step 5: Solve for x
    x = 51,329,401,843.88/280,085.96
  6. Step 6: Final answer
    x = 183,263.03

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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.