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Finding the Fourth Proportional to 391,533, 587,299.50 and 169,917

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Solution

The fourth proportional to 391,533, 587,299.50 and 169,917 is: 254,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,533 : 587,299.50 = 169,917 : x
  2. Step 2: Convert to fraction form
    391,533/587,299.50 = 169,917/x
  3. Step 3: Cross multiply
    391,533x = 587,299.50 × 169,917
  4. Step 4: Simplify right side
    391,533x = 99,792,169,141.50
  5. Step 5: Solve for x
    x = 99,792,169,141.50/391,533
  6. Step 6: Final answer
    x = 254,875.50

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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.