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Finding the Fourth Proportional to 309,903.21, 465,103.89 and 160,187.36

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Solution

The fourth proportional to 309,903.21, 465,103.89 and 160,187.36 is: 240,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,903.21 : 465,103.89 = 160,187.36 : x
  2. Step 2: Convert to fraction form
    309,903.21/465,103.89 = 160,187.36/x
  3. Step 3: Cross multiply
    309,903.21x = 465,103.89 × 160,187.36
  4. Step 4: Simplify right side
    309,903.21x = 74,503,761,939.31
  5. Step 5: Solve for x
    x = 74,503,761,939.31/309,903.21
  6. Step 6: Final answer
    x = 240,409.78

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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.