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Finding the Fourth Proportional to 489,471,086.80, 734,206,630.20 and 166,354,958.80

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Solution

The fourth proportional to 489,471,086.80, 734,206,630.20 and 166,354,958.80 is: 249,532,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,471,086.80 : 734,206,630.20 = 166,354,958.80 : x
  2. Step 2: Convert to fraction form
    489,471,086.80/734,206,630.20 = 166,354,958.80/x
  3. Step 3: Cross multiply
    489,471,086.80x = 734,206,630.20 × 166,354,958.80
  4. Step 4: Simplify right side
    489,471,086.80x = 122,138,913,717,607,856
  5. Step 5: Solve for x
    x = 122,138,913,717,607,856/489,471,086.80
  6. Step 6: Final answer
    x = 249,532,438.20

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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.