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Finding the Fourth Proportional to 309,222.90, 463,889.70 and 159,422.96

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Solution

The fourth proportional to 309,222.90, 463,889.70 and 159,422.96 is: 239,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,222.90 : 463,889.70 = 159,422.96 : x
  2. Step 2: Convert to fraction form
    309,222.90/463,889.70 = 159,422.96/x
  3. Step 3: Cross multiply
    309,222.90x = 463,889.70 × 159,422.96
  4. Step 4: Simplify right side
    309,222.90x = 73,954,669,087.51
  5. Step 5: Solve for x
    x = 73,954,669,087.51/309,222.90
  6. Step 6: Final answer
    x = 239,162.98

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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.