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Finding the Fourth Proportional to 273,074.88, 409,071.62 and 128,783.10

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Solution

The fourth proportional to 273,074.88, 409,071.62 and 128,783.10 is: 192,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,074.88 : 409,071.62 = 128,783.10 : x
  2. Step 2: Convert to fraction form
    273,074.88/409,071.62 = 128,783.10/x
  3. Step 3: Cross multiply
    273,074.88x = 409,071.62 × 128,783.10
  4. Step 4: Simplify right side
    273,074.88x = 52,681,511,345.62
  5. Step 5: Solve for x
    x = 52,681,511,345.62/273,074.88
  6. Step 6: Final answer
    x = 192,919.65

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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.