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Finding the Fourth Proportional to 271,873,999.80, 407,810,999.70 and 77,796,995.40

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Solution

The fourth proportional to 271,873,999.80, 407,810,999.70 and 77,796,995.40 is: 116,695,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,873,999.80 : 407,810,999.70 = 77,796,995.40 : x
  2. Step 2: Convert to fraction form
    271,873,999.80/407,810,999.70 = 77,796,995.40/x
  3. Step 3: Cross multiply
    271,873,999.80x = 407,810,999.70 × 77,796,995.40
  4. Step 4: Simplify right side
    271,873,999.80x = 31,726,470,467,730,304
  5. Step 5: Solve for x
    x = 31,726,470,467,730,304/271,873,999.80
  6. Step 6: Final answer
    x = 116,695,493.10

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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.