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Finding the Fourth Proportional to 432,699.68, 648,738.40 and 195,920.48

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Solution

The fourth proportional to 432,699.68, 648,738.40 and 195,920.48 is: 293,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,699.68 : 648,738.40 = 195,920.48 : x
  2. Step 2: Convert to fraction form
    432,699.68/648,738.40 = 195,920.48/x
  3. Step 3: Cross multiply
    432,699.68x = 648,738.40 × 195,920.48
  4. Step 4: Simplify right side
    432,699.68x = 127,101,138,722.43
  5. Step 5: Solve for x
    x = 127,101,138,722.43/432,699.68
  6. Step 6: Final answer
    x = 293,739.85

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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.