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Finding the Fourth Proportional to 280,830.80, 421,246.20 and 201,114.65

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Solution

The fourth proportional to 280,830.80, 421,246.20 and 201,114.65 is: 301,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,830.80 : 421,246.20 = 201,114.65 : x
  2. Step 2: Convert to fraction form
    280,830.80/421,246.20 = 201,114.65/x
  3. Step 3: Cross multiply
    280,830.80x = 421,246.20 × 201,114.65
  4. Step 4: Simplify right side
    280,830.80x = 84,718,782,076.83
  5. Step 5: Solve for x
    x = 84,718,782,076.83/280,830.80
  6. Step 6: Final answer
    x = 301,671.98

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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.