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Finding the Fourth Proportional to 206,984,208.80, 310,477,234.80 and 53,619,370.40

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Solution

The fourth proportional to 206,984,208.80, 310,477,234.80 and 53,619,370.40 is: 80,429,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984,208.80 : 310,477,234.80 = 53,619,370.40 : x
  2. Step 2: Convert to fraction form
    206,984,208.80/310,477,234.80 = 53,619,370.40/x
  3. Step 3: Cross multiply
    206,984,208.80x = 310,477,234.80 × 53,619,370.40
  4. Step 4: Simplify right side
    206,984,208.80x = 16,647,593,853,508,970
  5. Step 5: Solve for x
    x = 16,647,593,853,508,970/206,984,208.80
  6. Step 6: Final answer
    x = 80,429,294.34

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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.