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Finding the Fourth Proportional to 328,028.70, 492,043.05 and 117,639.30

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Solution

The fourth proportional to 328,028.70, 492,043.05 and 117,639.30 is: 176,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,028.70 : 492,043.05 = 117,639.30 : x
  2. Step 2: Convert to fraction form
    328,028.70/492,043.05 = 117,639.30/x
  3. Step 3: Cross multiply
    328,028.70x = 492,043.05 × 117,639.30
  4. Step 4: Simplify right side
    328,028.70x = 57,883,599,971.87
  5. Step 5: Solve for x
    x = 57,883,599,971.87/328,028.70
  6. Step 6: Final answer
    x = 176,458.95

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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.