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Finding the Fourth Proportional to 280,017.65, 419,951.14 and 102,525.59

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Solution

The fourth proportional to 280,017.65, 419,951.14 and 102,525.59 is: 153,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,017.65 : 419,951.14 = 102,525.59 : x
  2. Step 2: Convert to fraction form
    280,017.65/419,951.14 = 102,525.59/x
  3. Step 3: Cross multiply
    280,017.65x = 419,951.14 × 102,525.59
  4. Step 4: Simplify right side
    280,017.65x = 43,055,738,399.67
  5. Step 5: Solve for x
    x = 43,055,738,399.67/280,017.65
  6. Step 6: Final answer
    x = 153,760.80

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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.