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Finding the Fourth Proportional to 221,451.42, 305,652.76 and 144,926.12

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Solution

The fourth proportional to 221,451.42, 305,652.76 and 144,926.12 is: 200,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,451.42 : 305,652.76 = 144,926.12 : x
  2. Step 2: Convert to fraction form
    221,451.42/305,652.76 = 144,926.12/x
  3. Step 3: Cross multiply
    221,451.42x = 305,652.76 × 144,926.12
  4. Step 4: Simplify right side
    221,451.42x = 44,297,068,574.09
  5. Step 5: Solve for x
    x = 44,297,068,574.09/221,451.42
  6. Step 6: Final answer
    x = 200,030.64

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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.