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Finding the Fourth Proportional to 421,780.21, 632,670.31 and 106,261.72

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Solution

The fourth proportional to 421,780.21, 632,670.31 and 106,261.72 is: 159,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,780.21 : 632,670.31 = 106,261.72 : x
  2. Step 2: Convert to fraction form
    421,780.21/632,670.31 = 106,261.72/x
  3. Step 3: Cross multiply
    421,780.21x = 632,670.31 × 106,261.72
  4. Step 4: Simplify right side
    421,780.21x = 67,228,635,333.53
  5. Step 5: Solve for x
    x = 67,228,635,333.53/421,780.21
  6. Step 6: Final answer
    x = 159,392.58

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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.