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Finding the Fourth Proportional to 271,525,409.70, 407,288,114.55 and 99,007,851.30

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Solution

The fourth proportional to 271,525,409.70, 407,288,114.55 and 99,007,851.30 is: 148,511,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,525,409.70 : 407,288,114.55 = 99,007,851.30 : x
  2. Step 2: Convert to fraction form
    271,525,409.70/407,288,114.55 = 99,007,851.30/x
  3. Step 3: Cross multiply
    271,525,409.70x = 407,288,114.55 × 99,007,851.30
  4. Step 4: Simplify right side
    271,525,409.70x = 40,324,721,081,623,768
  5. Step 5: Solve for x
    x = 40,324,721,081,623,768/271,525,409.70
  6. Step 6: Final answer
    x = 148,511,776.95

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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.