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Finding the Fourth Proportional to 271,525,400.70, 407,288,101.05 and 99,007,842.30

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Solution

The fourth proportional to 271,525,400.70, 407,288,101.05 and 99,007,842.30 is: 148,511,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,525,400.70 : 407,288,101.05 = 99,007,842.30 : x
  2. Step 2: Convert to fraction form
    271,525,400.70/407,288,101.05 = 99,007,842.30/x
  3. Step 3: Cross multiply
    271,525,400.70x = 407,288,101.05 × 99,007,842.30
  4. Step 4: Simplify right side
    271,525,400.70x = 40,324,716,079,424,864
  5. Step 5: Solve for x
    x = 40,324,716,079,424,864/271,525,400.70
  6. Step 6: Final answer
    x = 148,511,763.45

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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.