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Finding the Fourth Proportional to 421,257.56, 631,971.03 and 155,019.47

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Solution

The fourth proportional to 421,257.56, 631,971.03 and 155,019.47 is: 232,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,257.56 : 631,971.03 = 155,019.47 : x
  2. Step 2: Convert to fraction form
    421,257.56/631,971.03 = 155,019.47/x
  3. Step 3: Cross multiply
    421,257.56x = 631,971.03 × 155,019.47
  4. Step 4: Simplify right side
    421,257.56x = 97,967,814,125.95
  5. Step 5: Solve for x
    x = 97,967,814,125.95/421,257.56
  6. Step 6: Final answer
    x = 232,560.37

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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.