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Finding the Fourth Proportional to 474,756.56, 715,467.34 and 427,418.94

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Solution

The fourth proportional to 474,756.56, 715,467.34 and 427,418.94 is: 644,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,756.56 : 715,467.34 = 427,418.94 : x
  2. Step 2: Convert to fraction form
    474,756.56/715,467.34 = 427,418.94/x
  3. Step 3: Cross multiply
    474,756.56x = 715,467.34 × 427,418.94
  4. Step 4: Simplify right side
    474,756.56x = 305,804,290,998.87
  5. Step 5: Solve for x
    x = 305,804,290,998.87/474,756.56
  6. Step 6: Final answer
    x = 644,128.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.