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Finding the Fourth Proportional to 491,727, 678,462.48 and 300,670.68

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Solution

The fourth proportional to 491,727, 678,462.48 and 300,670.68 is: 414,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,727 : 678,462.48 = 300,670.68 : x
  2. Step 2: Convert to fraction form
    491,727/678,462.48 = 300,670.68/x
  3. Step 3: Cross multiply
    491,727x = 678,462.48 × 300,670.68
  4. Step 4: Simplify right side
    491,727x = 203,993,775,216.09
  5. Step 5: Solve for x
    x = 203,993,775,216.09/491,727
  6. Step 6: Final answer
    x = 414,851.69

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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.