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Finding the Fourth Proportional to 629,208,889.80, 943,813,334.70 and 400,193,248.20

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Solution

The fourth proportional to 629,208,889.80, 943,813,334.70 and 400,193,248.20 is: 600,289,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,208,889.80 : 943,813,334.70 = 400,193,248.20 : x
  2. Step 2: Convert to fraction form
    629,208,889.80/943,813,334.70 = 400,193,248.20/x
  3. Step 3: Cross multiply
    629,208,889.80x = 943,813,334.70 × 400,193,248.20
  4. Step 4: Simplify right side
    629,208,889.80x = 377,707,724,108,066,752
  5. Step 5: Solve for x
    x = 377,707,724,108,066,752/629,208,889.80
  6. Step 6: Final answer
    x = 600,289,872.30

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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.