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Finding the Fourth Proportional to 209,500.32, 311,881.32 and 208,255.08

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Solution

The fourth proportional to 209,500.32, 311,881.32 and 208,255.08 is: 310,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,500.32 : 311,881.32 = 208,255.08 : x
  2. Step 2: Convert to fraction form
    209,500.32/311,881.32 = 208,255.08/x
  3. Step 3: Cross multiply
    209,500.32x = 311,881.32 × 208,255.08
  4. Step 4: Simplify right side
    209,500.32x = 64,950,869,247.11
  5. Step 5: Solve for x
    x = 64,950,869,247.11/209,500.32
  6. Step 6: Final answer
    x = 310,027.54

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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.