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Finding the Fourth Proportional to 421,257.66, 631,886.49 and 140,774.91

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Solution

The fourth proportional to 421,257.66, 631,886.49 and 140,774.91 is: 211,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,257.66 : 631,886.49 = 140,774.91 : x
  2. Step 2: Convert to fraction form
    421,257.66/631,886.49 = 140,774.91/x
  3. Step 3: Cross multiply
    421,257.66x = 631,886.49 × 140,774.91
  4. Step 4: Simplify right side
    421,257.66x = 88,953,763,759.97
  5. Step 5: Solve for x
    x = 88,953,763,759.97/421,257.66
  6. Step 6: Final answer
    x = 211,162.37

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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.