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Finding the Fourth Proportional to 686,110, 946,817.66 and 380,183.72

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Solution

The fourth proportional to 686,110, 946,817.66 and 380,183.72 is: 524,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,110 : 946,817.66 = 380,183.72 : x
  2. Step 2: Convert to fraction form
    686,110/946,817.66 = 380,183.72/x
  3. Step 3: Cross multiply
    686,110x = 946,817.66 × 380,183.72
  4. Step 4: Simplify right side
    686,110x = 359,964,660,140.50
  5. Step 5: Solve for x
    x = 359,964,660,140.50/686,110
  6. Step 6: Final answer
    x = 524,645.70

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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.