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Finding the Fourth Proportional to 421,266.96, 631,900.44 and 140,784.21

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Solution

The fourth proportional to 421,266.96, 631,900.44 and 140,784.21 is: 211,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,266.96 : 631,900.44 = 140,784.21 : x
  2. Step 2: Convert to fraction form
    421,266.96/631,900.44 = 140,784.21/x
  3. Step 3: Cross multiply
    421,266.96x = 631,900.44 × 140,784.21
  4. Step 4: Simplify right side
    421,266.96x = 88,961,604,244.05
  5. Step 5: Solve for x
    x = 88,961,604,244.05/421,266.96
  6. Step 6: Final answer
    x = 211,176.32

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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.