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Finding the Fourth Proportional to 426,171.76, 635,764.64 and 414,587.94

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Solution

The fourth proportional to 426,171.76, 635,764.64 and 414,587.94 is: 618,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,171.76 : 635,764.64 = 414,587.94 : x
  2. Step 2: Convert to fraction form
    426,171.76/635,764.64 = 414,587.94/x
  3. Step 3: Cross multiply
    426,171.76x = 635,764.64 × 414,587.94
  4. Step 4: Simplify right side
    426,171.76x = 263,580,352,422.44
  5. Step 5: Solve for x
    x = 263,580,352,422.44/426,171.76
  6. Step 6: Final answer
    x = 618,483.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.