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Finding the Fourth Proportional to 458,180, 632,564.88 and 299,480.48

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Solution

The fourth proportional to 458,180, 632,564.88 and 299,480.48 is: 413,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,180 : 632,564.88 = 299,480.48 : x
  2. Step 2: Convert to fraction form
    458,180/632,564.88 = 299,480.48/x
  3. Step 3: Cross multiply
    458,180x = 632,564.88 × 299,480.48
  4. Step 4: Simplify right side
    458,180x = 189,440,833,893.54
  5. Step 5: Solve for x
    x = 189,440,833,893.54/458,180
  6. Step 6: Final answer
    x = 413,463.78

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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.