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Finding the Fourth Proportional to 432,198.84, 648,394.50 and 132,705.48

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Solution

The fourth proportional to 432,198.84, 648,394.50 and 132,705.48 is: 199,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,198.84 : 648,394.50 = 132,705.48 : x
  2. Step 2: Convert to fraction form
    432,198.84/648,394.50 = 132,705.48/x
  3. Step 3: Cross multiply
    432,198.84x = 648,394.50 × 132,705.48
  4. Step 4: Simplify right side
    432,198.84x = 86,045,503,351.86
  5. Step 5: Solve for x
    x = 86,045,503,351.86/432,198.84
  6. Step 6: Final answer
    x = 199,087.77

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1.5x scale

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.