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Finding the Fourth Proportional to 324,813.74, 487,215.24 and 97,109.89

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Solution

The fourth proportional to 324,813.74, 487,215.24 and 97,109.89 is: 145,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,813.74 : 487,215.24 = 97,109.89 : x
  2. Step 2: Convert to fraction form
    324,813.74/487,215.24 = 97,109.89/x
  3. Step 3: Cross multiply
    324,813.74x = 487,215.24 × 97,109.89
  4. Step 4: Simplify right side
    324,813.74x = 47,313,417,144.69
  5. Step 5: Solve for x
    x = 47,313,417,144.69/324,813.74
  6. Step 6: Final answer
    x = 145,663.23

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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.