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Finding the Fourth Proportional to 318,924,302.20, 447,703,346.60 and 318,924,302.20

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Solution

The fourth proportional to 318,924,302.20, 447,703,346.60 and 318,924,302.20 is: 447,703,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,924,302.20 : 447,703,346.60 = 318,924,302.20 : x
  2. Step 2: Convert to fraction form
    318,924,302.20/447,703,346.60 = 318,924,302.20/x
  3. Step 3: Cross multiply
    318,924,302.20x = 447,703,346.60 × 318,924,302.20
  4. Step 4: Simplify right side
    318,924,302.20x = 142,783,477,407,009,744
  5. Step 5: Solve for x
    x = 142,783,477,407,009,744/318,924,302.20
  6. Step 6: Final answer
    x = 447,703,346.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.