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Finding the Fourth Proportional to 420,745.40, 631,422.57 and 164,615.84

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Solution

The fourth proportional to 420,745.40, 631,422.57 and 164,615.84 is: 247,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,745.40 : 631,422.57 = 164,615.84 : x
  2. Step 2: Convert to fraction form
    420,745.40/631,422.57 = 164,615.84/x
  3. Step 3: Cross multiply
    420,745.40x = 631,422.57 × 164,615.84
  4. Step 4: Simplify right side
    420,745.40x = 103,942,156,755.51
  5. Step 5: Solve for x
    x = 103,942,156,755.51/420,745.40
  6. Step 6: Final answer
    x = 247,042.88

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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.