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Finding the Fourth Proportional to 432,019.56, 647,963.52 and 165,905.40

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Solution

The fourth proportional to 432,019.56, 647,963.52 and 165,905.40 is: 248,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,019.56 : 647,963.52 = 165,905.40 : x
  2. Step 2: Convert to fraction form
    432,019.56/647,963.52 = 165,905.40/x
  3. Step 3: Cross multiply
    432,019.56x = 647,963.52 × 165,905.40
  4. Step 4: Simplify right side
    432,019.56x = 107,500,646,971.01
  5. Step 5: Solve for x
    x = 107,500,646,971.01/432,019.56
  6. Step 6: Final answer
    x = 248,832.82

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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.