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Finding the Fourth Proportional to 306,238.85, 422,598.55 and 168,416.59

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Solution

The fourth proportional to 306,238.85, 422,598.55 and 168,416.59 is: 232,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,238.85 : 422,598.55 = 168,416.59 : x
  2. Step 2: Convert to fraction form
    306,238.85/422,598.55 = 168,416.59/x
  3. Step 3: Cross multiply
    306,238.85x = 422,598.55 × 168,416.59
  4. Step 4: Simplify right side
    306,238.85x = 71,172,606,729.94
  5. Step 5: Solve for x
    x = 71,172,606,729.94/306,238.85
  6. Step 6: Final answer
    x = 232,408.81

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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.