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Finding the Fourth Proportional to 338,394.69, 507,643.07 and 146,321.69

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Solution

The fourth proportional to 338,394.69, 507,643.07 and 146,321.69 is: 219,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,394.69 : 507,643.07 = 146,321.69 : x
  2. Step 2: Convert to fraction form
    338,394.69/507,643.07 = 146,321.69/x
  3. Step 3: Cross multiply
    338,394.69x = 507,643.07 × 146,321.69
  4. Step 4: Simplify right side
    338,394.69x = 74,279,188,649.36
  5. Step 5: Solve for x
    x = 74,279,188,649.36/338,394.69
  6. Step 6: Final answer
    x = 219,504.59

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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.