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Finding the Fourth Proportional to 656,507,738.40, 905,891,932.44 and 374,286,585.84

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Solution

The fourth proportional to 656,507,738.40, 905,891,932.44 and 374,286,585.84 is: 516,464,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,507,738.40 : 905,891,932.44 = 374,286,585.84 : x
  2. Step 2: Convert to fraction form
    656,507,738.40/905,891,932.44 = 374,286,585.84/x
  3. Step 3: Cross multiply
    656,507,738.40x = 905,891,932.44 × 374,286,585.84
  4. Step 4: Simplify right side
    656,507,738.40x = 339,063,198,532,967,552
  5. Step 5: Solve for x
    x = 339,063,198,532,967,552/656,507,738.40
  6. Step 6: Final answer
    x = 516,464,892.49

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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.