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Finding the Fourth Proportional to 458,495.90, 632,712.02 and 274,838.21

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Solution

The fourth proportional to 458,495.90, 632,712.02 and 274,838.21 is: 379,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,495.90 : 632,712.02 = 274,838.21 : x
  2. Step 2: Convert to fraction form
    458,495.90/632,712.02 = 274,838.21/x
  3. Step 3: Cross multiply
    458,495.90x = 632,712.02 × 274,838.21
  4. Step 4: Simplify right side
    458,495.90x = 173,893,439,022.28
  5. Step 5: Solve for x
    x = 173,893,439,022.28/458,495.90
  6. Step 6: Final answer
    x = 379,269.34

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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.