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Finding the Fourth Proportional to 380,854.44, 571,361.76 and 144,191.88

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Solution

The fourth proportional to 380,854.44, 571,361.76 and 144,191.88 is: 216,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,854.44 : 571,361.76 = 144,191.88 : x
  2. Step 2: Convert to fraction form
    380,854.44/571,361.76 = 144,191.88/x
  3. Step 3: Cross multiply
    380,854.44x = 571,361.76 × 144,191.88
  4. Step 4: Simplify right side
    380,854.44x = 82,385,726,334.51
  5. Step 5: Solve for x
    x = 82,385,726,334.51/380,854.44
  6. Step 6: Final answer
    x = 216,318.15

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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.