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Finding the Fourth Proportional to 296,911.85, 409,188.85 and 210,874.59

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Solution

The fourth proportional to 296,911.85, 409,188.85 and 210,874.59 is: 290,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,911.85 : 409,188.85 = 210,874.59 : x
  2. Step 2: Convert to fraction form
    296,911.85/409,188.85 = 210,874.59/x
  3. Step 3: Cross multiply
    296,911.85x = 409,188.85 × 210,874.59
  4. Step 4: Simplify right side
    296,911.85x = 86,287,530,449.14
  5. Step 5: Solve for x
    x = 86,287,530,449.14/296,911.85
  6. Step 6: Final answer
    x = 290,616.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.