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Finding the Fourth Proportional to 492,138.15, 738,116.10 and 137,078.70

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Solution

The fourth proportional to 492,138.15, 738,116.10 and 137,078.70 is: 205,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,138.15 : 738,116.10 = 137,078.70 : x
  2. Step 2: Convert to fraction form
    492,138.15/738,116.10 = 137,078.70/x
  3. Step 3: Cross multiply
    492,138.15x = 738,116.10 × 137,078.70
  4. Step 4: Simplify right side
    492,138.15x = 101,179,995,437.07
  5. Step 5: Solve for x
    x = 101,179,995,437.07/492,138.15
  6. Step 6: Final answer
    x = 205,592.67

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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.