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Finding the Fourth Proportional to 243,578,408.40, 365,367,612.60 and 114,438,245.40

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Solution

The fourth proportional to 243,578,408.40, 365,367,612.60 and 114,438,245.40 is: 171,657,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,578,408.40 : 365,367,612.60 = 114,438,245.40 : x
  2. Step 2: Convert to fraction form
    243,578,408.40/365,367,612.60 = 114,438,245.40/x
  3. Step 3: Cross multiply
    243,578,408.40x = 365,367,612.60 × 114,438,245.40
  4. Step 4: Simplify right side
    243,578,408.40x = 41,812,028,511,930,936
  5. Step 5: Solve for x
    x = 41,812,028,511,930,936/243,578,408.40
  6. Step 6: Final answer
    x = 171,657,368.10

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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.