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Finding the Fourth Proportional to 458,331.90, 632,614.29 and 313,196.43

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Solution

The fourth proportional to 458,331.90, 632,614.29 and 313,196.43 is: 432,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,331.90 : 632,614.29 = 313,196.43 : x
  2. Step 2: Convert to fraction form
    458,331.90/632,614.29 = 313,196.43/x
  3. Step 3: Cross multiply
    458,331.90x = 632,614.29 × 313,196.43
  4. Step 4: Simplify right side
    458,331.90x = 198,132,537,194.99
  5. Step 5: Solve for x
    x = 198,132,537,194.99/458,331.90
  6. Step 6: Final answer
    x = 432,290.52

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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.