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Finding the Fourth Proportional to 285,604.40, 428,428.17 and 96,065.33

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Solution

The fourth proportional to 285,604.40, 428,428.17 and 96,065.33 is: 144,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,604.40 : 428,428.17 = 96,065.33 : x
  2. Step 2: Convert to fraction form
    285,604.40/428,428.17 = 96,065.33/x
  3. Step 3: Cross multiply
    285,604.40x = 428,428.17 × 96,065.33
  4. Step 4: Simplify right side
    285,604.40x = 41,157,091,390.21
  5. Step 5: Solve for x
    x = 41,157,091,390.21/285,604.40
  6. Step 6: Final answer
    x = 144,105.24

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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.