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Finding the Fourth Proportional to 306,817, 460,231.26 and 85,206.76

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Solution

The fourth proportional to 306,817, 460,231.26 and 85,206.76 is: 127,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,817 : 460,231.26 = 85,206.76 : x
  2. Step 2: Convert to fraction form
    306,817/460,231.26 = 85,206.76/x
  3. Step 3: Cross multiply
    306,817x = 460,231.26 × 85,206.76
  4. Step 4: Simplify right side
    306,817x = 39,214,814,515.32
  5. Step 5: Solve for x
    x = 39,214,814,515.32/306,817
  6. Step 6: Final answer
    x = 127,811.74

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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.