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Finding the Fourth Proportional to 512,486,798.64, 768,861,286.76 and 148,981,154.64

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Solution

The fourth proportional to 512,486,798.64, 768,861,286.76 and 148,981,154.64 is: 223,509,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,486,798.64 : 768,861,286.76 = 148,981,154.64 : x
  2. Step 2: Convert to fraction form
    512,486,798.64/768,861,286.76 = 148,981,154.64/x
  3. Step 3: Cross multiply
    512,486,798.64x = 768,861,286.76 × 148,981,154.64
  4. Step 4: Simplify right side
    512,486,798.64x = 114,545,842,259,500,928
  5. Step 5: Solve for x
    x = 114,545,842,259,500,928/512,486,798.64
  6. Step 6: Final answer
    x = 223,509,839.79

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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.