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Finding the Fourth Proportional to 380,093.72, 524,540.22 and 210,343.64

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Solution

The fourth proportional to 380,093.72, 524,540.22 and 210,343.64 is: 290,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,093.72 : 524,540.22 = 210,343.64 : x
  2. Step 2: Convert to fraction form
    380,093.72/524,540.22 = 210,343.64/x
  3. Step 3: Cross multiply
    380,093.72x = 524,540.22 × 210,343.64
  4. Step 4: Simplify right side
    380,093.72x = 110,333,699,201.20
  5. Step 5: Solve for x
    x = 110,333,699,201.20/380,093.72
  6. Step 6: Final answer
    x = 290,280.25

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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.