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Finding the Fourth Proportional to 312,981,319.20, 469,471,978.80 and 196,583,930.40

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Solution

The fourth proportional to 312,981,319.20, 469,471,978.80 and 196,583,930.40 is: 294,875,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,981,319.20 : 469,471,978.80 = 196,583,930.40 : x
  2. Step 2: Convert to fraction form
    312,981,319.20/469,471,978.80 = 196,583,930.40/x
  3. Step 3: Cross multiply
    312,981,319.20x = 469,471,978.80 × 196,583,930.40
  4. Step 4: Simplify right side
    312,981,319.20x = 92,290,646,805,169,488
  5. Step 5: Solve for x
    x = 92,290,646,805,169,488/312,981,319.20
  6. Step 6: Final answer
    x = 294,875,895.60

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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.