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Finding the Fourth Proportional to 207,911.70, 311,867.55 and 199,746.90

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Solution

The fourth proportional to 207,911.70, 311,867.55 and 199,746.90 is: 299,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,911.70 : 311,867.55 = 199,746.90 : x
  2. Step 2: Convert to fraction form
    207,911.70/311,867.55 = 199,746.90/x
  3. Step 3: Cross multiply
    207,911.70x = 311,867.55 × 199,746.90
  4. Step 4: Simplify right side
    207,911.70x = 62,294,576,323.10
  5. Step 5: Solve for x
    x = 62,294,576,323.10/207,911.70
  6. Step 6: Final answer
    x = 299,620.35

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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.