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Finding the Fourth Proportional to 207,975.40, 311,379.90 and 202,143.40

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Solution

The fourth proportional to 207,975.40, 311,379.90 and 202,143.40 is: 302,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,975.40 : 311,379.90 = 202,143.40 : x
  2. Step 2: Convert to fraction form
    207,975.40/311,379.90 = 202,143.40/x
  3. Step 3: Cross multiply
    207,975.40x = 311,379.90 × 202,143.40
  4. Step 4: Simplify right side
    207,975.40x = 62,943,391,677.66
  5. Step 5: Solve for x
    x = 62,943,391,677.66/207,975.40
  6. Step 6: Final answer
    x = 302,648.25

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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.