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Finding the Fourth Proportional to 505,308,801.60, 757,963,202.40 and 431,332,214.40

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Solution

The fourth proportional to 505,308,801.60, 757,963,202.40 and 431,332,214.40 is: 646,998,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,308,801.60 : 757,963,202.40 = 431,332,214.40 : x
  2. Step 2: Convert to fraction form
    505,308,801.60/757,963,202.40 = 431,332,214.40/x
  3. Step 3: Cross multiply
    505,308,801.60x = 757,963,202.40 × 431,332,214.40
  4. Step 4: Simplify right side
    505,308,801.60x = 326,933,946,524,907,392
  5. Step 5: Solve for x
    x = 326,933,946,524,907,392/505,308,801.60
  6. Step 6: Final answer
    x = 646,998,321.60

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Similar ratio
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1.5x scale

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.