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Finding the Fourth Proportional to 209,434.51, 311,782.87 and 208,188.93

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Solution

The fourth proportional to 209,434.51, 311,782.87 and 208,188.93 is: 309,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,434.51 : 311,782.87 = 208,188.93 : x
  2. Step 2: Convert to fraction form
    209,434.51/311,782.87 = 208,188.93/x
  3. Step 3: Cross multiply
    209,434.51x = 311,782.87 × 208,188.93
  4. Step 4: Simplify right side
    209,434.51x = 64,909,743,527.05
  5. Step 5: Solve for x
    x = 64,909,743,527.05/209,434.51
  6. Step 6: Final answer
    x = 309,928.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.