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Finding the Fourth Proportional to 419,354.82, 628,879.14 and 153,036.54

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Solution

The fourth proportional to 419,354.82, 628,879.14 and 153,036.54 is: 229,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,354.82 : 628,879.14 = 153,036.54 : x
  2. Step 2: Convert to fraction form
    419,354.82/628,879.14 = 153,036.54/x
  3. Step 3: Cross multiply
    419,354.82x = 628,879.14 × 153,036.54
  4. Step 4: Simplify right side
    419,354.82x = 96,241,487,663.78
  5. Step 5: Solve for x
    x = 96,241,487,663.78/419,354.82
  6. Step 6: Final answer
    x = 229,498.94

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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.