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Finding the Fourth Proportional to 496,597.41, 685,222.74 and 312,807.42

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Solution

The fourth proportional to 496,597.41, 685,222.74 and 312,807.42 is: 431,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,597.41 : 685,222.74 = 312,807.42 : x
  2. Step 2: Convert to fraction form
    496,597.41/685,222.74 = 312,807.42/x
  3. Step 3: Cross multiply
    496,597.41x = 685,222.74 × 312,807.42
  4. Step 4: Simplify right side
    496,597.41x = 214,342,757,424.73
  5. Step 5: Solve for x
    x = 214,342,757,424.73/496,597.41
  6. Step 6: Final answer
    x = 431,622.79

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1.5x scale

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.