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Finding the Fourth Proportional to 212,652,092.10, 318,978,138.15 and 180,907,349.70

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Solution

The fourth proportional to 212,652,092.10, 318,978,138.15 and 180,907,349.70 is: 271,361,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,652,092.10 : 318,978,138.15 = 180,907,349.70 : x
  2. Step 2: Convert to fraction form
    212,652,092.10/318,978,138.15 = 180,907,349.70/x
  3. Step 3: Cross multiply
    212,652,092.10x = 318,978,138.15 × 180,907,349.70
  4. Step 4: Simplify right side
    212,652,092.10x = 57,705,489,584,956,952
  5. Step 5: Solve for x
    x = 57,705,489,584,956,952/212,652,092.10
  6. Step 6: Final answer
    x = 271,361,024.55

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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.