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Finding the Fourth Proportional to 402,504.40, 603,756.60 and 122,021.56

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Solution

The fourth proportional to 402,504.40, 603,756.60 and 122,021.56 is: 183,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,504.40 : 603,756.60 = 122,021.56 : x
  2. Step 2: Convert to fraction form
    402,504.40/603,756.60 = 122,021.56/x
  3. Step 3: Cross multiply
    402,504.40x = 603,756.60 × 122,021.56
  4. Step 4: Simplify right side
    402,504.40x = 73,671,322,192.30
  5. Step 5: Solve for x
    x = 73,671,322,192.30/402,504.40
  6. Step 6: Final answer
    x = 183,032.34

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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.