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Finding the Fourth Proportional to 492,193,211.40, 738,289,817.10 and 412,168,840.20

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Solution

The fourth proportional to 492,193,211.40, 738,289,817.10 and 412,168,840.20 is: 618,253,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,193,211.40 : 738,289,817.10 = 412,168,840.20 : x
  2. Step 2: Convert to fraction form
    492,193,211.40/738,289,817.10 = 412,168,840.20/x
  3. Step 3: Cross multiply
    492,193,211.40x = 738,289,817.10 × 412,168,840.20
  4. Step 4: Simplify right side
    492,193,211.40x = 304,300,057,645,577,152
  5. Step 5: Solve for x
    x = 304,300,057,645,577,152/492,193,211.40
  6. Step 6: Final answer
    x = 618,253,260.30

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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.