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Finding the Fourth Proportional to 280,127.48, 420,216.87 and 111,606.98

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Solution

The fourth proportional to 280,127.48, 420,216.87 and 111,606.98 is: 167,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,127.48 : 420,216.87 = 111,606.98 : x
  2. Step 2: Convert to fraction form
    280,127.48/420,216.87 = 111,606.98/x
  3. Step 3: Cross multiply
    280,127.48x = 420,216.87 × 111,606.98
  4. Step 4: Simplify right side
    280,127.48x = 46,899,135,805.75
  5. Step 5: Solve for x
    x = 46,899,135,805.75/280,127.48
  6. Step 6: Final answer
    x = 167,420.69

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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.