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Finding the Fourth Proportional to 407,977.20, 612,052.20 and 123,644.40

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Solution

The fourth proportional to 407,977.20, 612,052.20 and 123,644.40 is: 185,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,977.20 : 612,052.20 = 123,644.40 : x
  2. Step 2: Convert to fraction form
    407,977.20/612,052.20 = 123,644.40/x
  3. Step 3: Cross multiply
    407,977.20x = 612,052.20 × 123,644.40
  4. Step 4: Simplify right side
    407,977.20x = 75,676,827,037.68
  5. Step 5: Solve for x
    x = 75,676,827,037.68/407,977.20
  6. Step 6: Final answer
    x = 185,492.78

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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.