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Finding the Fourth Proportional to 468,244, 645,970.80 and 274,552.84

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Solution

The fourth proportional to 468,244, 645,970.80 and 274,552.84 is: 378,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,244 : 645,970.80 = 274,552.84 : x
  2. Step 2: Convert to fraction form
    468,244/645,970.80 = 274,552.84/x
  3. Step 3: Cross multiply
    468,244x = 645,970.80 × 274,552.84
  4. Step 4: Simplify right side
    468,244x = 177,353,117,697.07
  5. Step 5: Solve for x
    x = 177,353,117,697.07/468,244
  6. Step 6: Final answer
    x = 378,762.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.