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Finding the Fourth Proportional to 432,852.20, 649,278.30 and 273,419.90

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Solution

The fourth proportional to 432,852.20, 649,278.30 and 273,419.90 is: 410,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,852.20 : 649,278.30 = 273,419.90 : x
  2. Step 2: Convert to fraction form
    432,852.20/649,278.30 = 273,419.90/x
  3. Step 3: Cross multiply
    432,852.20x = 649,278.30 × 273,419.90
  4. Step 4: Simplify right side
    432,852.20x = 177,525,607,858.17
  5. Step 5: Solve for x
    x = 177,525,607,858.17/432,852.20
  6. Step 6: Final answer
    x = 410,129.85

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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.