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Finding the Fourth Proportional to 280,499.69, 420,749.49 and 70,137.62

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Solution

The fourth proportional to 280,499.69, 420,749.49 and 70,137.62 is: 105,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,499.69 : 420,749.49 = 70,137.62 : x
  2. Step 2: Convert to fraction form
    280,499.69/420,749.49 = 70,137.62/x
  3. Step 3: Cross multiply
    280,499.69x = 420,749.49 × 70,137.62
  4. Step 4: Simplify right side
    280,499.69x = 29,510,367,844.81
  5. Step 5: Solve for x
    x = 29,510,367,844.81/280,499.69
  6. Step 6: Final answer
    x = 105,206.42

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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.