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Finding the Fourth Proportional to 634,910.96, 876,216.50 and 419,677.76

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Solution

The fourth proportional to 634,910.96, 876,216.50 and 419,677.76 is: 579,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,910.96 : 876,216.50 = 419,677.76 : x
  2. Step 2: Convert to fraction form
    634,910.96/876,216.50 = 419,677.76/x
  3. Step 3: Cross multiply
    634,910.96x = 876,216.50 × 419,677.76
  4. Step 4: Simplify right side
    634,910.96x = 367,728,571,515.57
  5. Step 5: Solve for x
    x = 367,728,571,515.57/634,910.96
  6. Step 6: Final answer
    x = 579,181.33

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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.