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Finding the Fourth Proportional to 280,198.85, 420,421.59 and 147,047.00

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Solution

The fourth proportional to 280,198.85, 420,421.59 and 147,047.00 is: 220,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,198.85 : 420,421.59 = 147,047.00 : x
  2. Step 2: Convert to fraction form
    280,198.85/420,421.59 = 147,047.00/x
  3. Step 3: Cross multiply
    280,198.85x = 420,421.59 × 147,047.00
  4. Step 4: Simplify right side
    280,198.85x = 61,821,731,442.62
  5. Step 5: Solve for x
    x = 61,821,731,442.62/280,198.85
  6. Step 6: Final answer
    x = 220,635.21

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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.