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Finding the Fourth Proportional to 465,457.29, 642,128.61 and 293,270.73

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Solution

The fourth proportional to 465,457.29, 642,128.61 and 293,270.73 is: 404,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,457.29 : 642,128.61 = 293,270.73 : x
  2. Step 2: Convert to fraction form
    465,457.29/642,128.61 = 293,270.73/x
  3. Step 3: Cross multiply
    465,457.29x = 642,128.61 × 293,270.73
  4. Step 4: Simplify right side
    465,457.29x = 188,317,526,208.59
  5. Step 5: Solve for x
    x = 188,317,526,208.59/465,457.29
  6. Step 6: Final answer
    x = 404,586.05

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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.