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Finding the Fourth Proportional to 499,896, 689,854.66 and 270,453.38

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Solution

The fourth proportional to 499,896, 689,854.66 and 270,453.38 is: 373,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,896 : 689,854.66 = 270,453.38 : x
  2. Step 2: Convert to fraction form
    499,896/689,854.66 = 270,453.38/x
  3. Step 3: Cross multiply
    499,896x = 689,854.66 × 270,453.38
  4. Step 4: Simplify right side
    499,896x = 186,573,520,380.34
  5. Step 5: Solve for x
    x = 186,573,520,380.34/499,896
  6. Step 6: Final answer
    x = 373,224.67

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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.