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Finding the Fourth Proportional to 306,146.89, 422,491.85 and 185,310.28

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Solution

The fourth proportional to 306,146.89, 422,491.85 and 185,310.28 is: 255,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,146.89 : 422,491.85 = 185,310.28 : x
  2. Step 2: Convert to fraction form
    306,146.89/422,491.85 = 185,310.28/x
  3. Step 3: Cross multiply
    306,146.89x = 422,491.85 × 185,310.28
  4. Step 4: Simplify right side
    306,146.89x = 78,292,082,094.67
  5. Step 5: Solve for x
    x = 78,292,082,094.67/306,146.89
  6. Step 6: Final answer
    x = 255,733.72

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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.