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Finding the Fourth Proportional to 285,324.94, 427,986.38 and 85,644.46

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Solution

The fourth proportional to 285,324.94, 427,986.38 and 85,644.46 is: 128,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,324.94 : 427,986.38 = 85,644.46 : x
  2. Step 2: Convert to fraction form
    285,324.94/427,986.38 = 85,644.46/x
  3. Step 3: Cross multiply
    285,324.94x = 427,986.38 × 85,644.46
  4. Step 4: Simplify right side
    285,324.94x = 36,654,662,402.45
  5. Step 5: Solve for x
    x = 36,654,662,402.45/285,324.94
  6. Step 6: Final answer
    x = 128,466.38

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1.5x scale

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.