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Finding the Fourth Proportional to 621,408.36, 931,466.16 and 421,744.98

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Solution

The fourth proportional to 621,408.36, 931,466.16 and 421,744.98 is: 632,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,408.36 : 931,466.16 = 421,744.98 : x
  2. Step 2: Convert to fraction form
    621,408.36/931,466.16 = 421,744.98/x
  3. Step 3: Cross multiply
    621,408.36x = 931,466.16 × 421,744.98
  4. Step 4: Simplify right side
    621,408.36x = 392,841,177,019.88
  5. Step 5: Solve for x
    x = 392,841,177,019.88/621,408.36
  6. Step 6: Final answer
    x = 632,178.78

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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.