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Finding the Fourth Proportional to 649,324,894.98, 896,813,041.50 and 427,297,771.20

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Solution

The fourth proportional to 649,324,894.98, 896,813,041.50 and 427,297,771.20 is: 590,160,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,324,894.98 : 896,813,041.50 = 427,297,771.20 : x
  2. Step 2: Convert to fraction form
    649,324,894.98/896,813,041.50 = 427,297,771.20/x
  3. Step 3: Cross multiply
    649,324,894.98x = 896,813,041.50 × 427,297,771.20
  4. Step 4: Simplify right side
    649,324,894.98x = 383,206,213,816,043,072
  5. Step 5: Solve for x
    x = 383,206,213,816,043,072/649,324,894.98
  6. Step 6: Final answer
    x = 590,160,976.08

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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.