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Finding the Fourth Proportional to 419,906,123.60, 629,859,185.40 and 413,103,678.80

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Solution

The fourth proportional to 419,906,123.60, 629,859,185.40 and 413,103,678.80 is: 619,655,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,123.60 : 629,859,185.40 = 413,103,678.80 : x
  2. Step 2: Convert to fraction form
    419,906,123.60/629,859,185.40 = 413,103,678.80/x
  3. Step 3: Cross multiply
    419,906,123.60x = 629,859,185.40 × 413,103,678.80
  4. Step 4: Simplify right side
    419,906,123.60x = 260,197,146,614,711,232
  5. Step 5: Solve for x
    x = 260,197,146,614,711,232/419,906,123.60
  6. Step 6: Final answer
    x = 619,655,518.20

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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.