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Finding the Fourth Proportional to 273,821.20, 410,290.20 and 155,139.60

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Solution

The fourth proportional to 273,821.20, 410,290.20 and 155,139.60 is: 232,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,821.20 : 410,290.20 = 155,139.60 : x
  2. Step 2: Convert to fraction form
    273,821.20/410,290.20 = 155,139.60/x
  3. Step 3: Cross multiply
    273,821.20x = 410,290.20 × 155,139.60
  4. Step 4: Simplify right side
    273,821.20x = 63,652,257,511.92
  5. Step 5: Solve for x
    x = 63,652,257,511.92/273,821.20
  6. Step 6: Final answer
    x = 232,459.20

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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.