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Finding the Fourth Proportional to 378,728.54, 522,172.64 and 242,538.58

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Solution

The fourth proportional to 378,728.54, 522,172.64 and 242,538.58 is: 334,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,728.54 : 522,172.64 = 242,538.58 : x
  2. Step 2: Convert to fraction form
    378,728.54/522,172.64 = 242,538.58/x
  3. Step 3: Cross multiply
    378,728.54x = 522,172.64 × 242,538.58
  4. Step 4: Simplify right side
    378,728.54x = 126,647,010,620.45
  5. Step 5: Solve for x
    x = 126,647,010,620.45/378,728.54
  6. Step 6: Final answer
    x = 334,400.49

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1.5x scale

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.