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Finding the Fourth Proportional to 381,155, 571,732.50 and 159,539

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Solution

The fourth proportional to 381,155, 571,732.50 and 159,539 is: 239,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,155 : 571,732.50 = 159,539 : x
  2. Step 2: Convert to fraction form
    381,155/571,732.50 = 159,539/x
  3. Step 3: Cross multiply
    381,155x = 571,732.50 × 159,539
  4. Step 4: Simplify right side
    381,155x = 91,213,631,317.50
  5. Step 5: Solve for x
    x = 91,213,631,317.50/381,155
  6. Step 6: Final answer
    x = 239,308.50

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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.