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Finding the Fourth Proportional to 285,464.08, 428,256.24 and 107,967.20

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Solution

The fourth proportional to 285,464.08, 428,256.24 and 107,967.20 is: 161,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,464.08 : 428,256.24 = 107,967.20 : x
  2. Step 2: Convert to fraction form
    285,464.08/428,256.24 = 107,967.20/x
  3. Step 3: Cross multiply
    285,464.08x = 428,256.24 × 107,967.20
  4. Step 4: Simplify right side
    285,464.08x = 46,237,627,115.33
  5. Step 5: Solve for x
    x = 46,237,627,115.33/285,464.08
  6. Step 6: Final answer
    x = 161,973.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.