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Finding the Fourth Proportional to 307,000, 460,525.92 and 85,384

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Solution

The fourth proportional to 307,000, 460,525.92 and 85,384 is: 128,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,000 : 460,525.92 = 85,384 : x
  2. Step 2: Convert to fraction form
    307,000/460,525.92 = 85,384/x
  3. Step 3: Cross multiply
    307,000x = 460,525.92 × 85,384
  4. Step 4: Simplify right side
    307,000x = 39,321,545,153.28
  5. Step 5: Solve for x
    x = 39,321,545,153.28/307,000
  6. Step 6: Final answer
    x = 128,083.21

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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.