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Finding the Fourth Proportional to 421,270.67, 631,774.79 and 140,722.31

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Solution

The fourth proportional to 421,270.67, 631,774.79 and 140,722.31 is: 211,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,270.67 : 631,774.79 = 140,722.31 : x
  2. Step 2: Convert to fraction form
    421,270.67/631,774.79 = 140,722.31/x
  3. Step 3: Cross multiply
    421,270.67x = 631,774.79 × 140,722.31
  4. Step 4: Simplify right side
    421,270.67x = 88,904,809,252.10
  5. Step 5: Solve for x
    x = 88,904,809,252.10/421,270.67
  6. Step 6: Final answer
    x = 211,039.64

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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.