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Finding the Fourth Proportional to 280,571.85, 420,859.40 and 93,582.81

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Solution

The fourth proportional to 280,571.85, 420,859.40 and 93,582.81 is: 140,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,571.85 : 420,859.40 = 93,582.81 : x
  2. Step 2: Convert to fraction form
    280,571.85/420,859.40 = 93,582.81/x
  3. Step 3: Cross multiply
    280,571.85x = 420,859.40 × 93,582.81
  4. Step 4: Simplify right side
    280,571.85x = 39,385,204,799.00
  5. Step 5: Solve for x
    x = 39,385,204,799.00/280,571.85
  6. Step 6: Final answer
    x = 140,374.76

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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.