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Finding the Fourth Proportional to 216,415.56, 324,521.17 and 126,484.08

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Solution

The fourth proportional to 216,415.56, 324,521.17 and 126,484.08 is: 189,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,415.56 : 324,521.17 = 126,484.08 : x
  2. Step 2: Convert to fraction form
    216,415.56/324,521.17 = 126,484.08/x
  3. Step 3: Cross multiply
    216,415.56x = 324,521.17 × 126,484.08
  4. Step 4: Simplify right side
    216,415.56x = 41,046,761,627.97
  5. Step 5: Solve for x
    x = 41,046,761,627.97/216,415.56
  6. Step 6: Final answer
    x = 189,666.41

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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.