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Finding the Fourth Proportional to 306,873, 460,315.26 and 85,262.76

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Solution

The fourth proportional to 306,873, 460,315.26 and 85,262.76 is: 127,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,873 : 460,315.26 = 85,262.76 : x
  2. Step 2: Convert to fraction form
    306,873/460,315.26 = 85,262.76/x
  3. Step 3: Cross multiply
    306,873x = 460,315.26 × 85,262.76
  4. Step 4: Simplify right side
    306,873x = 39,247,749,537.72
  5. Step 5: Solve for x
    x = 39,247,749,537.72/306,873
  6. Step 6: Final answer
    x = 127,895.74

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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.