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Finding the Fourth Proportional to 492,071.40, 738,107.10 and 159,647.40

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Solution

The fourth proportional to 492,071.40, 738,107.10 and 159,647.40 is: 239,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,071.40 : 738,107.10 = 159,647.40 : x
  2. Step 2: Convert to fraction form
    492,071.40/738,107.10 = 159,647.40/x
  3. Step 3: Cross multiply
    492,071.40x = 738,107.10 × 159,647.40
  4. Step 4: Simplify right side
    492,071.40x = 117,836,879,436.54
  5. Step 5: Solve for x
    x = 117,836,879,436.54/492,071.40
  6. Step 6: Final answer
    x = 239,471.10

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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.