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Finding the Fourth Proportional to 211,191.05, 315,999.24 and 208,829.09

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Solution

The fourth proportional to 211,191.05, 315,999.24 and 208,829.09 is: 312,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,191.05 : 315,999.24 = 208,829.09 : x
  2. Step 2: Convert to fraction form
    211,191.05/315,999.24 = 208,829.09/x
  3. Step 3: Cross multiply
    211,191.05x = 315,999.24 × 208,829.09
  4. Step 4: Simplify right side
    211,191.05x = 65,989,833,729.89
  5. Step 5: Solve for x
    x = 65,989,833,729.89/211,191.05
  6. Step 6: Final answer
    x = 312,465.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.