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Finding the Fourth Proportional to 380,685.44, 570,806.82 and 144,046.40

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Solution

The fourth proportional to 380,685.44, 570,806.82 and 144,046.40 is: 215,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,685.44 : 570,806.82 = 144,046.40 : x
  2. Step 2: Convert to fraction form
    380,685.44/570,806.82 = 144,046.40/x
  3. Step 3: Cross multiply
    380,685.44x = 570,806.82 × 144,046.40
  4. Step 4: Simplify right side
    380,685.44x = 82,222,667,516.45
  5. Step 5: Solve for x
    x = 82,222,667,516.45/380,685.44
  6. Step 6: Final answer
    x = 215,985.85

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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.