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Finding the Fourth Proportional to 362,099.05, 499,581.09 and 209,117.05

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Solution

The fourth proportional to 362,099.05, 499,581.09 and 209,117.05 is: 288,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,099.05 : 499,581.09 = 209,117.05 : x
  2. Step 2: Convert to fraction form
    362,099.05/499,581.09 = 209,117.05/x
  3. Step 3: Cross multiply
    362,099.05x = 499,581.09 × 209,117.05
  4. Step 4: Simplify right side
    362,099.05x = 104,470,922,527.63
  5. Step 5: Solve for x
    x = 104,470,922,527.63/362,099.05
  6. Step 6: Final answer
    x = 288,514.77

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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.