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Finding the Fourth Proportional to 280,606.80, 420,907.32 and 162,202.80

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Solution

The fourth proportional to 280,606.80, 420,907.32 and 162,202.80 is: 243,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,606.80 : 420,907.32 = 162,202.80 : x
  2. Step 2: Convert to fraction form
    280,606.80/420,907.32 = 162,202.80/x
  3. Step 3: Cross multiply
    280,606.80x = 420,907.32 × 162,202.80
  4. Step 4: Simplify right side
    280,606.80x = 68,272,345,844.50
  5. Step 5: Solve for x
    x = 68,272,345,844.50/280,606.80
  6. Step 6: Final answer
    x = 243,302.54

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1.5x scale

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.