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Finding the Fourth Proportional to 402,135.60, 603,030.60 and 202,378.80

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Solution

The fourth proportional to 402,135.60, 603,030.60 and 202,378.80 is: 303,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,135.60 : 603,030.60 = 202,378.80 : x
  2. Step 2: Convert to fraction form
    402,135.60/603,030.60 = 202,378.80/x
  3. Step 3: Cross multiply
    402,135.60x = 603,030.60 × 202,378.80
  4. Step 4: Simplify right side
    402,135.60x = 122,040,609,191.28
  5. Step 5: Solve for x
    x = 122,040,609,191.28/402,135.60
  6. Step 6: Final answer
    x = 303,481.24

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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.