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Finding the Fourth Proportional to 252,762,416.40, 378,505,895.40 and 201,744,080.40

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Solution

The fourth proportional to 252,762,416.40, 378,505,895.40 and 201,744,080.40 is: 302,107,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,762,416.40 : 378,505,895.40 = 201,744,080.40 : x
  2. Step 2: Convert to fraction form
    252,762,416.40/378,505,895.40 = 201,744,080.40/x
  3. Step 3: Cross multiply
    252,762,416.40x = 378,505,895.40 × 201,744,080.40
  4. Step 4: Simplify right side
    252,762,416.40x = 76,361,323,793,451,584
  5. Step 5: Solve for x
    x = 76,361,323,793,451,584/252,762,416.40
  6. Step 6: Final answer
    x = 302,107,112.60

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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.