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Finding the Fourth Proportional to 496,237.47, 684,524.57 and 305,115.54

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Solution

The fourth proportional to 496,237.47, 684,524.57 and 305,115.54 is: 420,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,237.47 : 684,524.57 = 305,115.54 : x
  2. Step 2: Convert to fraction form
    496,237.47/684,524.57 = 305,115.54/x
  3. Step 3: Cross multiply
    496,237.47x = 684,524.57 × 305,115.54
  4. Step 4: Simplify right side
    496,237.47x = 208,859,082,293.24
  5. Step 5: Solve for x
    x = 208,859,082,293.24/496,237.47
  6. Step 6: Final answer
    x = 420,885.35

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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.