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Finding the Fourth Proportional to 432,078.89, 648,149.47 and 165,839.40

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Solution

The fourth proportional to 432,078.89, 648,149.47 and 165,839.40 is: 248,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,078.89 : 648,149.47 = 165,839.40 : x
  2. Step 2: Convert to fraction form
    432,078.89/648,149.47 = 165,839.40/x
  3. Step 3: Cross multiply
    432,078.89x = 648,149.47 × 165,839.40
  4. Step 4: Simplify right side
    432,078.89x = 107,488,720,811.04
  5. Step 5: Solve for x
    x = 107,488,720,811.04/432,078.89
  6. Step 6: Final answer
    x = 248,771.06

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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.