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Finding the Fourth Proportional to 545,096, 752,244 and 306,632

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Solution

The fourth proportional to 545,096, 752,244 and 306,632 is: 423,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,096 : 752,244 = 306,632 : x
  2. Step 2: Convert to fraction form
    545,096/752,244 = 306,632/x
  3. Step 3: Cross multiply
    545,096x = 752,244 × 306,632
  4. Step 4: Simplify right side
    545,096x = 230,662,082,208
  5. Step 5: Solve for x
    x = 230,662,082,208/545,096
  6. Step 6: Final answer
    x = 423,158.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.