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Finding the Fourth Proportional to 421,971, 632,956.50 and 126,483

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Solution

The fourth proportional to 421,971, 632,956.50 and 126,483 is: 189,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,971 : 632,956.50 = 126,483 : x
  2. Step 2: Convert to fraction form
    421,971/632,956.50 = 126,483/x
  3. Step 3: Cross multiply
    421,971x = 632,956.50 × 126,483
  4. Step 4: Simplify right side
    421,971x = 80,058,236,989.50
  5. Step 5: Solve for x
    x = 80,058,236,989.50/421,971
  6. Step 6: Final answer
    x = 189,724.50

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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.