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Finding the Fourth Proportional to 565,507,809.44, 780,407,958.98 and 311,218,443.75

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Solution

The fourth proportional to 565,507,809.44, 780,407,958.98 and 311,218,443.75 is: 429,485,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,507,809.44 : 780,407,958.98 = 311,218,443.75 : x
  2. Step 2: Convert to fraction form
    565,507,809.44/780,407,958.98 = 311,218,443.75/x
  3. Step 3: Cross multiply
    565,507,809.44x = 780,407,958.98 × 311,218,443.75
  4. Step 4: Simplify right side
    565,507,809.44x = 242,877,350,482,313,344
  5. Step 5: Solve for x
    x = 242,877,350,482,313,344/565,507,809.44
  6. Step 6: Final answer
    x = 429,485,404.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.