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Finding the Fourth Proportional to 419,078.88, 628,677.26 and 134,674.20

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Solution

The fourth proportional to 419,078.88, 628,677.26 and 134,674.20 is: 202,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,078.88 : 628,677.26 = 134,674.20 : x
  2. Step 2: Convert to fraction form
    419,078.88/628,677.26 = 134,674.20/x
  3. Step 3: Cross multiply
    419,078.88x = 628,677.26 × 134,674.20
  4. Step 4: Simplify right side
    419,078.88x = 84,666,607,048.69
  5. Step 5: Solve for x
    x = 84,666,607,048.69/419,078.88
  6. Step 6: Final answer
    x = 202,030.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.