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Finding the Fourth Proportional to 306,031.82, 422,334.53 and 170,071.49

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Solution

The fourth proportional to 306,031.82, 422,334.53 and 170,071.49 is: 234,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,031.82 : 422,334.53 = 170,071.49 : x
  2. Step 2: Convert to fraction form
    306,031.82/422,334.53 = 170,071.49/x
  3. Step 3: Cross multiply
    306,031.82x = 422,334.53 × 170,071.49
  4. Step 4: Simplify right side
    306,031.82x = 71,827,064,276.56
  5. Step 5: Solve for x
    x = 71,827,064,276.56/306,031.82
  6. Step 6: Final answer
    x = 234,704.57

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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.