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Finding the Fourth Proportional to 402,634.40, 603,222.60 and 318,945.20

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Solution

The fourth proportional to 402,634.40, 603,222.60 and 318,945.20 is: 477,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,634.40 : 603,222.60 = 318,945.20 : x
  2. Step 2: Convert to fraction form
    402,634.40/603,222.60 = 318,945.20/x
  3. Step 3: Cross multiply
    402,634.40x = 603,222.60 × 318,945.20
  4. Step 4: Simplify right side
    402,634.40x = 192,394,952,801.52
  5. Step 5: Solve for x
    x = 192,394,952,801.52/402,634.40
  6. Step 6: Final answer
    x = 477,840.33

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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.