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Finding the Fourth Proportional to 432,079.89, 648,150.97 and 165,840.40

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Solution

The fourth proportional to 432,079.89, 648,150.97 and 165,840.40 is: 248,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,079.89 : 648,150.97 = 165,840.40 : x
  2. Step 2: Convert to fraction form
    432,079.89/648,150.97 = 165,840.40/x
  3. Step 3: Cross multiply
    432,079.89x = 648,150.97 × 165,840.40
  4. Step 4: Simplify right side
    432,079.89x = 107,489,616,125.19
  5. Step 5: Solve for x
    x = 107,489,616,125.19/432,079.89
  6. Step 6: Final answer
    x = 248,772.55

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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.