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Finding the Fourth Proportional to 432,314.30, 648,495.11 and 179,620.34

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Solution

The fourth proportional to 432,314.30, 648,495.11 and 179,620.34 is: 269,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,314.30 : 648,495.11 = 179,620.34 : x
  2. Step 2: Convert to fraction form
    432,314.30/648,495.11 = 179,620.34/x
  3. Step 3: Cross multiply
    432,314.30x = 648,495.11 × 179,620.34
  4. Step 4: Simplify right side
    432,314.30x = 116,482,913,206.46
  5. Step 5: Solve for x
    x = 116,482,913,206.46/432,314.30
  6. Step 6: Final answer
    x = 269,440.34

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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.