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Finding the Fourth Proportional to 398,651,409.90, 597,977,114.85 and 398,651,409.90

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Solution

The fourth proportional to 398,651,409.90, 597,977,114.85 and 398,651,409.90 is: 597,977,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,651,409.90 : 597,977,114.85 = 398,651,409.90 : x
  2. Step 2: Convert to fraction form
    398,651,409.90/597,977,114.85 = 398,651,409.90/x
  3. Step 3: Cross multiply
    398,651,409.90x = 597,977,114.85 × 398,651,409.90
  4. Step 4: Simplify right side
    398,651,409.90x = 238,384,419,922,886,720
  5. Step 5: Solve for x
    x = 238,384,419,922,886,720/398,651,409.90
  6. Step 6: Final answer
    x = 597,977,114.85

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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.