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Finding the Fourth Proportional to 279,521,740.80, 419,282,611.20 and 85,432,780.80

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Solution

The fourth proportional to 279,521,740.80, 419,282,611.20 and 85,432,780.80 is: 128,149,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,521,740.80 : 419,282,611.20 = 85,432,780.80 : x
  2. Step 2: Convert to fraction form
    279,521,740.80/419,282,611.20 = 85,432,780.80/x
  3. Step 3: Cross multiply
    279,521,740.80x = 419,282,611.20 × 85,432,780.80
  4. Step 4: Simplify right side
    279,521,740.80x = 35,820,479,415,901,224
  5. Step 5: Solve for x
    x = 35,820,479,415,901,224/279,521,740.80
  6. Step 6: Final answer
    x = 128,149,171.20

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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.