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Finding the Fourth Proportional to 715,460.48, 987,120.14 and 428,876

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Solution

The fourth proportional to 715,460.48, 987,120.14 and 428,876 is: 591,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,460.48 : 987,120.14 = 428,876 : x
  2. Step 2: Convert to fraction form
    715,460.48/987,120.14 = 428,876/x
  3. Step 3: Cross multiply
    715,460.48x = 987,120.14 × 428,876
  4. Step 4: Simplify right side
    715,460.48x = 423,352,137,162.64
  5. Step 5: Solve for x
    x = 423,352,137,162.64/715,460.48
  6. Step 6: Final answer
    x = 591,719.81

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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.