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Finding the Fourth Proportional to 279,578,713.60, 419,494,041.60 and 133,956,006.40

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Solution

The fourth proportional to 279,578,713.60, 419,494,041.60 and 133,956,006.40 is: 200,994,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,578,713.60 : 419,494,041.60 = 133,956,006.40 : x
  2. Step 2: Convert to fraction form
    279,578,713.60/419,494,041.60 = 133,956,006.40/x
  3. Step 3: Cross multiply
    279,578,713.60x = 419,494,041.60 × 133,956,006.40
  4. Step 4: Simplify right side
    279,578,713.60x = 56,193,746,521,331,472
  5. Step 5: Solve for x
    x = 56,193,746,521,331,472/279,578,713.60
  6. Step 6: Final answer
    x = 200,994,366.84

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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.