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Finding the Fourth Proportional to 280,017.48, 419,857.32 and 111,563.76

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Solution

The fourth proportional to 280,017.48, 419,857.32 and 111,563.76 is: 167,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,017.48 : 419,857.32 = 111,563.76 : x
  2. Step 2: Convert to fraction form
    280,017.48/419,857.32 = 111,563.76/x
  3. Step 3: Cross multiply
    280,017.48x = 419,857.32 × 111,563.76
  4. Step 4: Simplify right side
    280,017.48x = 46,840,861,282.72
  5. Step 5: Solve for x
    x = 46,840,861,282.72/280,017.48
  6. Step 6: Final answer
    x = 167,278.35

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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.