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Finding the Fourth Proportional to 379,846.58, 524,112.46 and 210,047.90

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Solution

The fourth proportional to 379,846.58, 524,112.46 and 210,047.90 is: 289,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,846.58 : 524,112.46 = 210,047.90 : x
  2. Step 2: Convert to fraction form
    379,846.58/524,112.46 = 210,047.90/x
  3. Step 3: Cross multiply
    379,846.58x = 524,112.46 × 210,047.90
  4. Step 4: Simplify right side
    379,846.58x = 110,088,718,441.15
  5. Step 5: Solve for x
    x = 110,088,718,441.15/379,846.58
  6. Step 6: Final answer
    x = 289,824.17

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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.