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Finding the Fourth Proportional to 355,492.96, 490,633.76 and 204,560.80

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Solution

The fourth proportional to 355,492.96, 490,633.76 and 204,560.80 is: 282,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,492.96 : 490,633.76 = 204,560.80 : x
  2. Step 2: Convert to fraction form
    355,492.96/490,633.76 = 204,560.80/x
  3. Step 3: Cross multiply
    355,492.96x = 490,633.76 × 204,560.80
  4. Step 4: Simplify right side
    355,492.96x = 100,364,434,452.61
  5. Step 5: Solve for x
    x = 100,364,434,452.61/355,492.96
  6. Step 6: Final answer
    x = 282,324.68

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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.