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Finding the Fourth Proportional to 267,407.36, 401,007.36 and 142,680.32

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Solution

The fourth proportional to 267,407.36, 401,007.36 and 142,680.32 is: 213,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,407.36 : 401,007.36 = 142,680.32 : x
  2. Step 2: Convert to fraction form
    267,407.36/401,007.36 = 142,680.32/x
  3. Step 3: Cross multiply
    267,407.36x = 401,007.36 × 142,680.32
  4. Step 4: Simplify right side
    267,407.36x = 57,215,858,447.16
  5. Step 5: Solve for x
    x = 57,215,858,447.16/267,407.36
  6. Step 6: Final answer
    x = 213,965.16

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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.