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Finding the Fourth Proportional to 207,930.40, 311,312.40 and 202,098.40

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Solution

The fourth proportional to 207,930.40, 311,312.40 and 202,098.40 is: 302,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.40 : 311,312.40 = 202,098.40 : x
  2. Step 2: Convert to fraction form
    207,930.40/311,312.40 = 202,098.40/x
  3. Step 3: Cross multiply
    207,930.40x = 311,312.40 × 202,098.40
  4. Step 4: Simplify right side
    207,930.40x = 62,915,737,940.16
  5. Step 5: Solve for x
    x = 62,915,737,940.16/207,930.40
  6. Step 6: Final answer
    x = 302,580.76

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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.