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Finding the Fourth Proportional to 3,101,685, 4,652,527.50 and 857,823

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Solution

The fourth proportional to 3,101,685, 4,652,527.50 and 857,823 is: 1,286,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,685 : 4,652,527.50 = 857,823 : x
  2. Step 2: Convert to fraction form
    3,101,685/4,652,527.50 = 857,823/x
  3. Step 3: Cross multiply
    3,101,685x = 4,652,527.50 × 857,823
  4. Step 4: Simplify right side
    3,101,685x = 3,991,045,097,632.50
  5. Step 5: Solve for x
    x = 3,991,045,097,632.50/3,101,685
  6. Step 6: Final answer
    x = 1,286,734.50

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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.