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Finding the Fourth Proportional to 496,728, 685,484.64 and 270,375.12

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Solution

The fourth proportional to 496,728, 685,484.64 and 270,375.12 is: 373,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,728 : 685,484.64 = 270,375.12 : x
  2. Step 2: Convert to fraction form
    496,728/685,484.64 = 270,375.12/x
  3. Step 3: Cross multiply
    496,728x = 685,484.64 × 270,375.12
  4. Step 4: Simplify right side
    496,728x = 185,337,991,798.16
  5. Step 5: Solve for x
    x = 185,337,991,798.16/496,728
  6. Step 6: Final answer
    x = 373,117.67

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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.