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Finding the Fourth Proportional to 279,975.69, 419,697.46 and 178,488.85

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Solution

The fourth proportional to 279,975.69, 419,697.46 and 178,488.85 is: 267,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,975.69 : 419,697.46 = 178,488.85 : x
  2. Step 2: Convert to fraction form
    279,975.69/419,697.46 = 178,488.85/x
  3. Step 3: Cross multiply
    279,975.69x = 419,697.46 × 178,488.85
  4. Step 4: Simplify right side
    279,975.69x = 74,911,316,983.32
  5. Step 5: Solve for x
    x = 74,911,316,983.32/279,975.69
  6. Step 6: Final answer
    x = 267,563.65

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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.