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Finding the Fourth Proportional to 380,952.30, 571,508.37 and 144,289.74

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Solution

The fourth proportional to 380,952.30, 571,508.37 and 144,289.74 is: 216,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,952.30 : 571,508.37 = 144,289.74 : x
  2. Step 2: Convert to fraction form
    380,952.30/571,508.37 = 144,289.74/x
  3. Step 3: Cross multiply
    380,952.30x = 571,508.37 × 144,289.74
  4. Step 4: Simplify right side
    380,952.30x = 82,462,794,115.12
  5. Step 5: Solve for x
    x = 82,462,794,115.12/380,952.30
  6. Step 6: Final answer
    x = 216,464.88

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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.