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Finding the Fourth Proportional to 656,375,806.80, 984,713,009.40 and 383,606,168.40

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Solution

The fourth proportional to 656,375,806.80, 984,713,009.40 and 383,606,168.40 is: 575,496,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,375,806.80 : 984,713,009.40 = 383,606,168.40 : x
  2. Step 2: Convert to fraction form
    656,375,806.80/984,713,009.40 = 383,606,168.40/x
  3. Step 3: Cross multiply
    656,375,806.80x = 984,713,009.40 × 383,606,168.40
  4. Step 4: Simplify right side
    656,375,806.80x = 377,741,984,509,567,168
  5. Step 5: Solve for x
    x = 377,741,984,509,567,168/656,375,806.80
  6. Step 6: Final answer
    x = 575,496,507.64

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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.