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Finding the Fourth Proportional to 320,671,315.80, 481,006,973.70 and 274,754,813.40

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Solution

The fourth proportional to 320,671,315.80, 481,006,973.70 and 274,754,813.40 is: 412,132,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,671,315.80 : 481,006,973.70 = 274,754,813.40 : x
  2. Step 2: Convert to fraction form
    320,671,315.80/481,006,973.70 = 274,754,813.40/x
  3. Step 3: Cross multiply
    320,671,315.80x = 481,006,973.70 × 274,754,813.40
  4. Step 4: Simplify right side
    320,671,315.80x = 132,158,981,303,042,192
  5. Step 5: Solve for x
    x = 132,158,981,303,042,192/320,671,315.80
  6. Step 6: Final answer
    x = 412,132,220.10

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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.