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Finding the Fourth Proportional to 306,401.61, 422,846.25 and 185,474.49

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Solution

The fourth proportional to 306,401.61, 422,846.25 and 185,474.49 is: 255,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,401.61 : 422,846.25 = 185,474.49 : x
  2. Step 2: Convert to fraction form
    306,401.61/422,846.25 = 185,474.49/x
  3. Step 3: Cross multiply
    306,401.61x = 422,846.25 × 185,474.49
  4. Step 4: Simplify right side
    306,401.61x = 78,427,192,567.16
  5. Step 5: Solve for x
    x = 78,427,192,567.16/306,401.61
  6. Step 6: Final answer
    x = 255,962.08

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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.