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Finding the Fourth Proportional to 419,536.80, 628,927.34 and 153,110.39

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Solution

The fourth proportional to 419,536.80, 628,927.34 and 153,110.39 is: 229,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,536.80 : 628,927.34 = 153,110.39 : x
  2. Step 2: Convert to fraction form
    419,536.80/628,927.34 = 153,110.39/x
  3. Step 3: Cross multiply
    419,536.80x = 628,927.34 × 153,110.39
  4. Step 4: Simplify right side
    419,536.80x = 96,295,306,398.87
  5. Step 5: Solve for x
    x = 96,295,306,398.87/419,536.80
  6. Step 6: Final answer
    x = 229,527.68

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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.