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Finding the Fourth Proportional to 320,668,828.80, 481,286,678.40 and 274,752,326.40

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Solution

The fourth proportional to 320,668,828.80, 481,286,678.40 and 274,752,326.40 is: 412,371,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,668,828.80 : 481,286,678.40 = 274,752,326.40 : x
  2. Step 2: Convert to fraction form
    320,668,828.80/481,286,678.40 = 274,752,326.40/x
  3. Step 3: Cross multiply
    320,668,828.80x = 481,286,678.40 × 274,752,326.40
  4. Step 4: Simplify right side
    320,668,828.80x = 132,234,634,555,728,608
  5. Step 5: Solve for x
    x = 132,234,634,555,728,608/320,668,828.80
  6. Step 6: Final answer
    x = 412,371,339.77

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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.