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Finding the Fourth Proportional to 384,880.80, 576,154.80 and 279,904.80

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Solution

The fourth proportional to 384,880.80, 576,154.80 and 279,904.80 is: 419,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,880.80 : 576,154.80 = 279,904.80 : x
  2. Step 2: Convert to fraction form
    384,880.80/576,154.80 = 279,904.80/x
  3. Step 3: Cross multiply
    384,880.80x = 576,154.80 × 279,904.80
  4. Step 4: Simplify right side
    384,880.80x = 161,268,494,063.04
  5. Step 5: Solve for x
    x = 161,268,494,063.04/384,880.80
  6. Step 6: Final answer
    x = 419,008.93

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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.