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Finding the Fourth Proportional to 320,907.56, 442,850.10 and 193,653.32

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Solution

The fourth proportional to 320,907.56, 442,850.10 and 193,653.32 is: 267,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,907.56 : 442,850.10 = 193,653.32 : x
  2. Step 2: Convert to fraction form
    320,907.56/442,850.10 = 193,653.32/x
  3. Step 3: Cross multiply
    320,907.56x = 442,850.10 × 193,653.32
  4. Step 4: Simplify right side
    320,907.56x = 85,759,392,127.33
  5. Step 5: Solve for x
    x = 85,759,392,127.33/320,907.56
  6. Step 6: Final answer
    x = 267,240.17

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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.