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Finding the Fourth Proportional to 391,662,002.30, 587,493,003.45 and 391,662,002.30

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Solution

The fourth proportional to 391,662,002.30, 587,493,003.45 and 391,662,002.30 is: 587,493,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,662,002.30 : 587,493,003.45 = 391,662,002.30 : x
  2. Step 2: Convert to fraction form
    391,662,002.30/587,493,003.45 = 391,662,002.30/x
  3. Step 3: Cross multiply
    391,662,002.30x = 587,493,003.45 × 391,662,002.30
  4. Step 4: Simplify right side
    391,662,002.30x = 230,098,686,068,467,840
  5. Step 5: Solve for x
    x = 230,098,686,068,467,840/391,662,002.30
  6. Step 6: Final answer
    x = 587,493,003.45

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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.