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Finding the Fourth Proportional to 218,694.53, 328,141.75 and 98,783.54

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Solution

The fourth proportional to 218,694.53, 328,141.75 and 98,783.54 is: 148,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,694.53 : 328,141.75 = 98,783.54 : x
  2. Step 2: Convert to fraction form
    218,694.53/328,141.75 = 98,783.54/x
  3. Step 3: Cross multiply
    218,694.53x = 328,141.75 × 98,783.54
  4. Step 4: Simplify right side
    218,694.53x = 32,415,003,192.88
  5. Step 5: Solve for x
    x = 32,415,003,192.88/218,694.53
  6. Step 6: Final answer
    x = 148,220.46

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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.