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Finding the Fourth Proportional to 382,739,969.80, 573,718,044.30 and 188,352,411.40

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Solution

The fourth proportional to 382,739,969.80, 573,718,044.30 and 188,352,411.40 is: 282,335,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,739,969.80 : 573,718,044.30 = 188,352,411.40 : x
  2. Step 2: Convert to fraction form
    382,739,969.80/573,718,044.30 = 188,352,411.40/x
  3. Step 3: Cross multiply
    382,739,969.80x = 573,718,044.30 × 188,352,411.40
  4. Step 4: Simplify right side
    382,739,969.80x = 108,061,177,107,597,024
  5. Step 5: Solve for x
    x = 108,061,177,107,597,024/382,739,969.80
  6. Step 6: Final answer
    x = 282,335,751.77

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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.