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Finding the Fourth Proportional to 324,856.81, 487,354.77 and 97,170.31

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Solution

The fourth proportional to 324,856.81, 487,354.77 and 97,170.31 is: 145,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,856.81 : 487,354.77 = 97,170.31 : x
  2. Step 2: Convert to fraction form
    324,856.81/487,354.77 = 97,170.31/x
  3. Step 3: Cross multiply
    324,856.81x = 487,354.77 × 97,170.31
  4. Step 4: Simplify right side
    324,856.81x = 47,356,414,080.88
  5. Step 5: Solve for x
    x = 47,356,414,080.88/324,856.81
  6. Step 6: Final answer
    x = 145,776.27

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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.