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Finding the Fourth Proportional to 432,474.63, 648,434.75 and 179,930.31

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Solution

The fourth proportional to 432,474.63, 648,434.75 and 179,930.31 is: 269,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,474.63 : 648,434.75 = 179,930.31 : x
  2. Step 2: Convert to fraction form
    432,474.63/648,434.75 = 179,930.31/x
  3. Step 3: Cross multiply
    432,474.63x = 648,434.75 × 179,930.31
  4. Step 4: Simplify right side
    432,474.63x = 116,673,064,682.62
  5. Step 5: Solve for x
    x = 116,673,064,682.62/432,474.63
  6. Step 6: Final answer
    x = 269,780.14

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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.