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Finding the Fourth Proportional to 306,307.85, 422,742.51 and 185,491.15

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Solution

The fourth proportional to 306,307.85, 422,742.51 and 185,491.15 is: 256,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,307.85 : 422,742.51 = 185,491.15 : x
  2. Step 2: Convert to fraction form
    306,307.85/422,742.51 = 185,491.15/x
  3. Step 3: Cross multiply
    306,307.85x = 422,742.51 × 185,491.15
  4. Step 4: Simplify right side
    306,307.85x = 78,414,993,276.93
  5. Step 5: Solve for x
    x = 78,414,993,276.93/306,307.85
  6. Step 6: Final answer
    x = 256,000.60

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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.