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Finding the Fourth Proportional to 280,357.72, 386,835.90 and 161,102.68

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Solution

The fourth proportional to 280,357.72, 386,835.90 and 161,102.68 is: 222,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,357.72 : 386,835.90 = 161,102.68 : x
  2. Step 2: Convert to fraction form
    280,357.72/386,835.90 = 161,102.68/x
  3. Step 3: Cross multiply
    280,357.72x = 386,835.90 × 161,102.68
  4. Step 4: Simplify right side
    280,357.72x = 62,320,300,210.21
  5. Step 5: Solve for x
    x = 62,320,300,210.21/280,357.72
  6. Step 6: Final answer
    x = 222,288.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.