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Finding the Fourth Proportional to 329,718,747.80, 494,649,855.30 and 99,681,825.80

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Solution

The fourth proportional to 329,718,747.80, 494,649,855.30 and 99,681,825.80 is: 149,544,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,718,747.80 : 494,649,855.30 = 99,681,825.80 : x
  2. Step 2: Convert to fraction form
    329,718,747.80/494,649,855.30 = 99,681,825.80/x
  3. Step 3: Cross multiply
    329,718,747.80x = 494,649,855.30 × 99,681,825.80
  4. Step 4: Simplify right side
    329,718,747.80x = 49,307,600,708,009,808
  5. Step 5: Solve for x
    x = 49,307,600,708,009,808/329,718,747.80
  6. Step 6: Final answer
    x = 149,544,425.47

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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.