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Finding the Fourth Proportional to 380,843.51, 571,191.14 and 144,204.71

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Solution

The fourth proportional to 380,843.51, 571,191.14 and 144,204.71 is: 216,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,843.51 : 571,191.14 = 144,204.71 : x
  2. Step 2: Convert to fraction form
    380,843.51/571,191.14 = 144,204.71/x
  3. Step 3: Cross multiply
    380,843.51x = 571,191.14 × 144,204.71
  4. Step 4: Simplify right side
    380,843.51x = 82,368,450,202.83
  5. Step 5: Solve for x
    x = 82,368,450,202.83/380,843.51
  6. Step 6: Final answer
    x = 216,278.99

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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.