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Finding the Fourth Proportional to 279,632.83, 419,473.44 and 77,229.01

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Solution

The fourth proportional to 279,632.83, 419,473.44 and 77,229.01 is: 115,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,632.83 : 419,473.44 = 77,229.01 : x
  2. Step 2: Convert to fraction form
    279,632.83/419,473.44 = 77,229.01/x
  3. Step 3: Cross multiply
    279,632.83x = 419,473.44 × 77,229.01
  4. Step 4: Simplify right side
    279,632.83x = 32,395,518,492.49
  5. Step 5: Solve for x
    x = 32,395,518,492.49/279,632.83
  6. Step 6: Final answer
    x = 115,850.20

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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.