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Finding the Fourth Proportional to 421,016.40, 631,773.54 and 154,963.80

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Solution

The fourth proportional to 421,016.40, 631,773.54 and 154,963.80 is: 232,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,016.40 : 631,773.54 = 154,963.80 : x
  2. Step 2: Convert to fraction form
    421,016.40/631,773.54 = 154,963.80/x
  3. Step 3: Cross multiply
    421,016.40x = 631,773.54 × 154,963.80
  4. Step 4: Simplify right side
    421,016.40x = 97,902,028,497.85
  5. Step 5: Solve for x
    x = 97,902,028,497.85/421,016.40
  6. Step 6: Final answer
    x = 232,537.33

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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.