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Finding the Fourth Proportional to 486,792, 671,772.96 and 274,824

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Solution

The fourth proportional to 486,792, 671,772.96 and 274,824 is: 379,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,792 : 671,772.96 = 274,824 : x
  2. Step 2: Convert to fraction form
    486,792/671,772.96 = 274,824/x
  3. Step 3: Cross multiply
    486,792x = 671,772.96 × 274,824
  4. Step 4: Simplify right side
    486,792x = 184,619,331,959.04
  5. Step 5: Solve for x
    x = 184,619,331,959.04/486,792
  6. Step 6: Final answer
    x = 379,257.12

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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.