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Finding the Fourth Proportional to 208,365.79, 312,220.32 and 161,096.17

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Solution

The fourth proportional to 208,365.79, 312,220.32 and 161,096.17 is: 241,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,365.79 : 312,220.32 = 161,096.17 : x
  2. Step 2: Convert to fraction form
    208,365.79/312,220.32 = 161,096.17/x
  3. Step 3: Cross multiply
    208,365.79x = 312,220.32 × 161,096.17
  4. Step 4: Simplify right side
    208,365.79x = 50,297,497,748.17
  5. Step 5: Solve for x
    x = 50,297,497,748.17/208,365.79
  6. Step 6: Final answer
    x = 241,390.38

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1.5x scale

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.