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Finding the Fourth Proportional to 324,813.78, 487,215.30 and 97,109.93

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Solution

The fourth proportional to 324,813.78, 487,215.30 and 97,109.93 is: 145,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,813.78 : 487,215.30 = 97,109.93 : x
  2. Step 2: Convert to fraction form
    324,813.78/487,215.30 = 97,109.93/x
  3. Step 3: Cross multiply
    324,813.78x = 487,215.30 × 97,109.93
  4. Step 4: Simplify right side
    324,813.78x = 47,313,441,241.85
  5. Step 5: Solve for x
    x = 47,313,441,241.85/324,813.78
  6. Step 6: Final answer
    x = 145,663.28

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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.