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Finding the Fourth Proportional to 421,085.53, 631,660.43 and 140,602.78

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Solution

The fourth proportional to 421,085.53, 631,660.43 and 140,602.78 is: 210,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,085.53 : 631,660.43 = 140,602.78 : x
  2. Step 2: Convert to fraction form
    421,085.53/631,660.43 = 140,602.78/x
  3. Step 3: Cross multiply
    421,085.53x = 631,660.43 × 140,602.78
  4. Step 4: Simplify right side
    421,085.53x = 88,813,212,474.00
  5. Step 5: Solve for x
    x = 88,813,212,474.00/421,085.53
  6. Step 6: Final answer
    x = 210,914.90

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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.