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Finding the Fourth Proportional to 421,257.28, 631,885.92 and 140,774.53

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Solution

The fourth proportional to 421,257.28, 631,885.92 and 140,774.53 is: 211,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,257.28 : 631,885.92 = 140,774.53 : x
  2. Step 2: Convert to fraction form
    421,257.28/631,885.92 = 140,774.53/x
  3. Step 3: Cross multiply
    421,257.28x = 631,885.92 × 140,774.53
  4. Step 4: Simplify right side
    421,257.28x = 88,953,444,719.38
  5. Step 5: Solve for x
    x = 88,953,444,719.38/421,257.28
  6. Step 6: Final answer
    x = 211,161.80

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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.