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Finding the Fourth Proportional to 280,074.94, 420,110.25 and 69,711.46

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Solution

The fourth proportional to 280,074.94, 420,110.25 and 69,711.46 is: 104,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,074.94 : 420,110.25 = 69,711.46 : x
  2. Step 2: Convert to fraction form
    280,074.94/420,110.25 = 69,711.46/x
  3. Step 3: Cross multiply
    280,074.94x = 420,110.25 × 69,711.46
  4. Step 4: Simplify right side
    280,074.94x = 29,286,498,888.47
  5. Step 5: Solve for x
    x = 29,286,498,888.47/280,074.94
  6. Step 6: Final answer
    x = 104,566.65

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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.