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Finding the Fourth Proportional to 392,689.80, 589,472.10 and 215,542.80

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Solution

The fourth proportional to 392,689.80, 589,472.10 and 215,542.80 is: 323,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,689.80 : 589,472.10 = 215,542.80 : x
  2. Step 2: Convert to fraction form
    392,689.80/589,472.10 = 215,542.80/x
  3. Step 3: Cross multiply
    392,689.80x = 589,472.10 × 215,542.80
  4. Step 4: Simplify right side
    392,689.80x = 127,056,466,955.88
  5. Step 5: Solve for x
    x = 127,056,466,955.88/392,689.80
  6. Step 6: Final answer
    x = 323,554.28

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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.