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Finding the Fourth Proportional to 882,956,128.84, 1,218,517,048.02 and 491,815,725.64

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Solution

The fourth proportional to 882,956,128.84, 1,218,517,048.02 and 491,815,725.64 is: 678,726,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,956,128.84 : 1,218,517,048.02 = 491,815,725.64 : x
  2. Step 2: Convert to fraction form
    882,956,128.84/1,218,517,048.02 = 491,815,725.64/x
  3. Step 3: Cross multiply
    882,956,128.84x = 1,218,517,048.02 × 491,815,725.64
  4. Step 4: Simplify right side
    882,956,128.84x = 599,285,846,176,667,008
  5. Step 5: Solve for x
    x = 599,285,846,176,667,008/882,956,128.84
  6. Step 6: Final answer
    x = 678,726,639.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.