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Finding the Fourth Proportional to 432,720, 649,183.68 and 137,232

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Solution

The fourth proportional to 432,720, 649,183.68 and 137,232 is: 205,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,720 : 649,183.68 = 137,232 : x
  2. Step 2: Convert to fraction form
    432,720/649,183.68 = 137,232/x
  3. Step 3: Cross multiply
    432,720x = 649,183.68 × 137,232
  4. Step 4: Simplify right side
    432,720x = 89,088,774,773.76
  5. Step 5: Solve for x
    x = 89,088,774,773.76/432,720
  6. Step 6: Final answer
    x = 205,880.88

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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.