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Finding the Fourth Proportional to 421,213.06, 631,930.38 and 151,368.46

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Solution

The fourth proportional to 421,213.06, 631,930.38 and 151,368.46 is: 227,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,213.06 : 631,930.38 = 151,368.46 : x
  2. Step 2: Convert to fraction form
    421,213.06/631,930.38 = 151,368.46/x
  3. Step 3: Cross multiply
    421,213.06x = 631,930.38 × 151,368.46
  4. Step 4: Simplify right side
    421,213.06x = 95,654,328,447.81
  5. Step 5: Solve for x
    x = 95,654,328,447.81/421,213.06
  6. Step 6: Final answer
    x = 227,092.50

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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.