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Finding the Fourth Proportional to 267,408.36, 401,008.86 and 142,681.32

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Solution

The fourth proportional to 267,408.36, 401,008.86 and 142,681.32 is: 213,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,408.36 : 401,008.86 = 142,681.32 : x
  2. Step 2: Convert to fraction form
    267,408.36/401,008.86 = 142,681.32/x
  3. Step 3: Cross multiply
    267,408.36x = 401,008.86 × 142,681.32
  4. Step 4: Simplify right side
    267,408.36x = 57,216,473,476.50
  5. Step 5: Solve for x
    x = 57,216,473,476.50/267,408.36
  6. Step 6: Final answer
    x = 213,966.66

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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.