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Finding the Fourth Proportional to 484,404,913.80, 726,607,370.70 and 398,311,471.80

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Solution

The fourth proportional to 484,404,913.80, 726,607,370.70 and 398,311,471.80 is: 597,467,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,404,913.80 : 726,607,370.70 = 398,311,471.80 : x
  2. Step 2: Convert to fraction form
    484,404,913.80/726,607,370.70 = 398,311,471.80/x
  3. Step 3: Cross multiply
    484,404,913.80x = 726,607,370.70 × 398,311,471.80
  4. Step 4: Simplify right side
    484,404,913.80x = 289,416,051,244,245,248
  5. Step 5: Solve for x
    x = 289,416,051,244,245,248/484,404,913.80
  6. Step 6: Final answer
    x = 597,467,207.70

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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.