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Finding the Fourth Proportional to 538,768.80, 743,450.40 and 312,390

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Solution

The fourth proportional to 538,768.80, 743,450.40 and 312,390 is: 431,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,768.80 : 743,450.40 = 312,390 : x
  2. Step 2: Convert to fraction form
    538,768.80/743,450.40 = 312,390/x
  3. Step 3: Cross multiply
    538,768.80x = 743,450.40 × 312,390
  4. Step 4: Simplify right side
    538,768.80x = 232,246,470,456
  5. Step 5: Solve for x
    x = 232,246,470,456/538,768.80
  6. Step 6: Final answer
    x = 431,068.89

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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.