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Finding the Fourth Proportional to 402,505.40, 603,758.10 and 122,022.56

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Solution

The fourth proportional to 402,505.40, 603,758.10 and 122,022.56 is: 183,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,505.40 : 603,758.10 = 122,022.56 : x
  2. Step 2: Convert to fraction form
    402,505.40/603,758.10 = 122,022.56/x
  3. Step 3: Cross multiply
    402,505.40x = 603,758.10 × 122,022.56
  4. Step 4: Simplify right side
    402,505.40x = 73,672,108,982.74
  5. Step 5: Solve for x
    x = 73,672,108,982.74/402,505.40
  6. Step 6: Final answer
    x = 183,033.84

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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.