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Finding the Fourth Proportional to 307,199.13, 460,876.47 and 85,583.13

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Solution

The fourth proportional to 307,199.13, 460,876.47 and 85,583.13 is: 128,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,199.13 : 460,876.47 = 85,583.13 : x
  2. Step 2: Convert to fraction form
    307,199.13/460,876.47 = 85,583.13/x
  3. Step 3: Cross multiply
    307,199.13x = 460,876.47 × 85,583.13
  4. Step 4: Simplify right side
    307,199.13x = 39,443,250,845.95
  5. Step 5: Solve for x
    x = 39,443,250,845.95/307,199.13
  6. Step 6: Final answer
    x = 128,396.36

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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.