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Finding the Fourth Proportional to 208,997.80, 313,496.70 and 207,831.40

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Solution

The fourth proportional to 208,997.80, 313,496.70 and 207,831.40 is: 311,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,997.80 : 313,496.70 = 207,831.40 : x
  2. Step 2: Convert to fraction form
    208,997.80/313,496.70 = 207,831.40/x
  3. Step 3: Cross multiply
    208,997.80x = 313,496.70 × 207,831.40
  4. Step 4: Simplify right side
    208,997.80x = 65,154,458,056.38
  5. Step 5: Solve for x
    x = 65,154,458,056.38/208,997.80
  6. Step 6: Final answer
    x = 311,747.10

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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.