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Finding the Fourth Proportional to 209,447.67, 311,802.42 and 208,202.10

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Solution

The fourth proportional to 209,447.67, 311,802.42 and 208,202.10 is: 309,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,447.67 : 311,802.42 = 208,202.10 : x
  2. Step 2: Convert to fraction form
    209,447.67/311,802.42 = 208,202.10/x
  3. Step 3: Cross multiply
    209,447.67x = 311,802.42 × 208,202.10
  4. Step 4: Simplify right side
    209,447.67x = 64,917,918,629.08
  5. Step 5: Solve for x
    x = 64,917,918,629.08/209,447.67
  6. Step 6: Final answer
    x = 309,948.15

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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.