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Finding the Fourth Proportional to 442,828,709.70, 664,620,978.15 and 197,562,783.30

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Solution

The fourth proportional to 442,828,709.70, 664,620,978.15 and 197,562,783.30 is: 296,512,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,828,709.70 : 664,620,978.15 = 197,562,783.30 : x
  2. Step 2: Convert to fraction form
    442,828,709.70/664,620,978.15 = 197,562,783.30/x
  3. Step 3: Cross multiply
    442,828,709.70x = 664,620,978.15 × 197,562,783.30
  4. Step 4: Simplify right side
    442,828,709.70x = 131,304,370,282,882,496
  5. Step 5: Solve for x
    x = 131,304,370,282,882,496/442,828,709.70
  6. Step 6: Final answer
    x = 296,512,776.63

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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.