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Finding the Fourth Proportional to 298,770, 412,311.24 and 164,642.64

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Solution

The fourth proportional to 298,770, 412,311.24 and 164,642.64 is: 227,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,770 : 412,311.24 = 164,642.64 : x
  2. Step 2: Convert to fraction form
    298,770/412,311.24 = 164,642.64/x
  3. Step 3: Cross multiply
    298,770x = 412,311.24 × 164,642.64
  4. Step 4: Simplify right side
    298,770x = 67,884,011,055.27
  5. Step 5: Solve for x
    x = 67,884,011,055.27/298,770
  6. Step 6: Final answer
    x = 227,211.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.