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Finding the Fourth Proportional to 208,039.30, 311,621.55 and 173,047.30

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Solution

The fourth proportional to 208,039.30, 311,621.55 and 173,047.30 is: 259,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,039.30 : 311,621.55 = 173,047.30 : x
  2. Step 2: Convert to fraction form
    208,039.30/311,621.55 = 173,047.30/x
  3. Step 3: Cross multiply
    208,039.30x = 311,621.55 × 173,047.30
  4. Step 4: Simplify right side
    208,039.30x = 53,925,267,849.32
  5. Step 5: Solve for x
    x = 53,925,267,849.32/208,039.30
  6. Step 6: Final answer
    x = 259,207.12

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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.