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Finding the Fourth Proportional to 285,624.36, 428,286.78 and 98,591.40

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Solution

The fourth proportional to 285,624.36, 428,286.78 and 98,591.40 is: 147,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,624.36 : 428,286.78 = 98,591.40 : x
  2. Step 2: Convert to fraction form
    285,624.36/428,286.78 = 98,591.40/x
  3. Step 3: Cross multiply
    285,624.36x = 428,286.78 × 98,591.40
  4. Step 4: Simplify right side
    285,624.36x = 42,225,393,241.69
  5. Step 5: Solve for x
    x = 42,225,393,241.69/285,624.36
  6. Step 6: Final answer
    x = 147,835.41

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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.