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Finding the Fourth Proportional to 279,979.68, 419,300.46 and 153,429.60

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Solution

The fourth proportional to 279,979.68, 419,300.46 and 153,429.60 is: 229,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,979.68 : 419,300.46 = 153,429.60 : x
  2. Step 2: Convert to fraction form
    279,979.68/419,300.46 = 153,429.60/x
  3. Step 3: Cross multiply
    279,979.68x = 419,300.46 × 153,429.60
  4. Step 4: Simplify right side
    279,979.68x = 64,333,101,857.62
  5. Step 5: Solve for x
    x = 64,333,101,857.62/279,979.68
  6. Step 6: Final answer
    x = 229,777.75

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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.