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Finding the Fourth Proportional to 312,432,872.60, 468,649,308.90 and 312,432,872.60

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Solution

The fourth proportional to 312,432,872.60, 468,649,308.90 and 312,432,872.60 is: 468,649,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,432,872.60 : 468,649,308.90 = 312,432,872.60 : x
  2. Step 2: Convert to fraction form
    312,432,872.60/468,649,308.90 = 312,432,872.60/x
  3. Step 3: Cross multiply
    312,432,872.60x = 468,649,308.90 × 312,432,872.60
  4. Step 4: Simplify right side
    312,432,872.60x = 146,421,449,821,631,744
  5. Step 5: Solve for x
    x = 146,421,449,821,631,744/312,432,872.60
  6. Step 6: Final answer
    x = 468,649,308.90

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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.