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Finding the Fourth Proportional to 221,588.32, 305,814 and 132,164.32

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Solution

The fourth proportional to 221,588.32, 305,814 and 132,164.32 is: 182,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,588.32 : 305,814 = 132,164.32 : x
  2. Step 2: Convert to fraction form
    221,588.32/305,814 = 132,164.32/x
  3. Step 3: Cross multiply
    221,588.32x = 305,814 × 132,164.32
  4. Step 4: Simplify right side
    221,588.32x = 40,417,699,356.48
  5. Step 5: Solve for x
    x = 40,417,699,356.48/221,588.32
  6. Step 6: Final answer
    x = 182,399.95

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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.