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Finding the Fourth Proportional to 419,616,005.10, 629,424,007.65 and 411,553,848.30

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Solution

The fourth proportional to 419,616,005.10, 629,424,007.65 and 411,553,848.30 is: 617,330,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,616,005.10 : 629,424,007.65 = 411,553,848.30 : x
  2. Step 2: Convert to fraction form
    419,616,005.10/629,424,007.65 = 411,553,848.30/x
  3. Step 3: Cross multiply
    419,616,005.10x = 629,424,007.65 × 411,553,848.30
  4. Step 4: Simplify right side
    419,616,005.10x = 259,041,872,560,766,144
  5. Step 5: Solve for x
    x = 259,041,872,560,766,144/419,616,005.10
  6. Step 6: Final answer
    x = 617,330,772.45

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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.