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Finding the Fourth Proportional to 396,574,618,590.80, 594,978,638,266.90 and 127,958,559,645.10

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Solution

The fourth proportional to 396,574,618,590.80, 594,978,638,266.90 and 127,958,559,645.10 is: 191,975,497,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,574,618,590.80 : 594,978,638,266.90 = 127,958,559,645.10 : x
  2. Step 2: Convert to fraction form
    396,574,618,590.80/594,978,638,266.90 = 127,958,559,645.10/x
  3. Step 3: Cross multiply
    396,574,618,590.80x = 594,978,638,266.90 × 127,958,559,645.10
  4. Step 4: Simplify right side
    396,574,618,590.80x = 76,132,609,572,235,500,322,816
  5. Step 5: Solve for x
    x = 76,132,609,572,235,500,322,816/396,574,618,590.80
  6. Step 6: Final answer
    x = 191,975,497,178.23

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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.