Home / 280,848,043.80-420,450,920.10-200,226,475.80

Finding the Fourth Proportional to 280,848,043.80, 420,450,920.10 and 200,226,475.80

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Solution

The fourth proportional to 280,848,043.80, 420,450,920.10 and 200,226,475.80 is: 299,754,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,848,043.80 : 420,450,920.10 = 200,226,475.80 : x
  2. Step 2: Convert to fraction form
    280,848,043.80/420,450,920.10 = 200,226,475.80/x
  3. Step 3: Cross multiply
    280,848,043.80x = 420,450,920.10 × 200,226,475.80
  4. Step 4: Simplify right side
    280,848,043.80x = 84,185,405,978,490,400
  5. Step 5: Solve for x
    x = 84,185,405,978,490,400/280,848,043.80
  6. Step 6: Final answer
    x = 299,754,290.04

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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.