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Finding the Fourth Proportional to 421,571.10, 631,750.34 and 181,619.12

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Solution

The fourth proportional to 421,571.10, 631,750.34 and 181,619.12 is: 272,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,571.10 : 631,750.34 = 181,619.12 : x
  2. Step 2: Convert to fraction form
    421,571.10/631,750.34 = 181,619.12/x
  3. Step 3: Cross multiply
    421,571.10x = 631,750.34 × 181,619.12
  4. Step 4: Simplify right side
    421,571.10x = 114,737,940,810.50
  5. Step 5: Solve for x
    x = 114,737,940,810.50/421,571.10
  6. Step 6: Final answer
    x = 272,167.47

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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.