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Finding the Fourth Proportional to 490,123.60, 735,622.80 and 423,638.80

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Solution

The fourth proportional to 490,123.60, 735,622.80 and 423,638.80 is: 635,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,123.60 : 735,622.80 = 423,638.80 : x
  2. Step 2: Convert to fraction form
    490,123.60/735,622.80 = 423,638.80/x
  3. Step 3: Cross multiply
    490,123.60x = 735,622.80 × 423,638.80
  4. Step 4: Simplify right side
    490,123.60x = 311,638,360,244.64
  5. Step 5: Solve for x
    x = 311,638,360,244.64/490,123.60
  6. Step 6: Final answer
    x = 635,836.27

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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.