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Finding the Fourth Proportional to 402,435.20, 603,652.80 and 269,465.60

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Solution

The fourth proportional to 402,435.20, 603,652.80 and 269,465.60 is: 404,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,435.20 : 603,652.80 = 269,465.60 : x
  2. Step 2: Convert to fraction form
    402,435.20/603,652.80 = 269,465.60/x
  3. Step 3: Cross multiply
    402,435.20x = 603,652.80 × 269,465.60
  4. Step 4: Simplify right side
    402,435.20x = 162,663,663,943.68
  5. Step 5: Solve for x
    x = 162,663,663,943.68/402,435.20
  6. Step 6: Final answer
    x = 404,198.40

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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.