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Finding the Fourth Proportional to 252,273,646.40, 378,410,469.60 and 252,273,646.40

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Solution

The fourth proportional to 252,273,646.40, 378,410,469.60 and 252,273,646.40 is: 378,410,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,273,646.40 : 378,410,469.60 = 252,273,646.40 : x
  2. Step 2: Convert to fraction form
    252,273,646.40/378,410,469.60 = 252,273,646.40/x
  3. Step 3: Cross multiply
    252,273,646.40x = 378,410,469.60 × 252,273,646.40
  4. Step 4: Simplify right side
    252,273,646.40x = 95,462,989,001,928,352
  5. Step 5: Solve for x
    x = 95,462,989,001,928,352/252,273,646.40
  6. Step 6: Final answer
    x = 378,410,469.60

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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.