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Finding the Fourth Proportional to 209,391.64, 311,719.31 and 208,146.07

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Solution

The fourth proportional to 209,391.64, 311,719.31 and 208,146.07 is: 309,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,391.64 : 311,719.31 = 208,146.07 : x
  2. Step 2: Convert to fraction form
    209,391.64/311,719.31 = 208,146.07/x
  3. Step 3: Cross multiply
    209,391.64x = 311,719.31 × 208,146.07
  4. Step 4: Simplify right side
    209,391.64x = 64,883,148,281.38
  5. Step 5: Solve for x
    x = 64,883,148,281.38/209,391.64
  6. Step 6: Final answer
    x = 309,865.04

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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.