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Finding the Fourth Proportional to 396,578,404.60, 594,867,606.90 and 320,050,900.60

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Solution

The fourth proportional to 396,578,404.60, 594,867,606.90 and 320,050,900.60 is: 480,076,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,578,404.60 : 594,867,606.90 = 320,050,900.60 : x
  2. Step 2: Convert to fraction form
    396,578,404.60/594,867,606.90 = 320,050,900.60/x
  3. Step 3: Cross multiply
    396,578,404.60x = 594,867,606.90 × 320,050,900.60
  4. Step 4: Simplify right side
    396,578,404.60x = 190,387,913,326,111,776
  5. Step 5: Solve for x
    x = 190,387,913,326,111,776/396,578,404.60
  6. Step 6: Final answer
    x = 480,076,350.90

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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.