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Finding the Fourth Proportional to 391,604,713.02, 587,473,991.73 and 161,447,982.30

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Solution

The fourth proportional to 391,604,713.02, 587,473,991.73 and 161,447,982.30 is: 242,199,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,604,713.02 : 587,473,991.73 = 161,447,982.30 : x
  2. Step 2: Convert to fraction form
    391,604,713.02/587,473,991.73 = 161,447,982.30/x
  3. Step 3: Cross multiply
    391,604,713.02x = 587,473,991.73 × 161,447,982.30
  4. Step 4: Simplify right side
    391,604,713.02x = 94,846,490,618,535,392
  5. Step 5: Solve for x
    x = 94,846,490,618,535,392/391,604,713.02
  6. Step 6: Final answer
    x = 242,199,563.65

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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.