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Finding the Fourth Proportional to 209,997,958.20, 314,996,937.30 and 209,997,958.20

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Solution

The fourth proportional to 209,997,958.20, 314,996,937.30 and 209,997,958.20 is: 314,996,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,997,958.20 : 314,996,937.30 = 209,997,958.20 : x
  2. Step 2: Convert to fraction form
    209,997,958.20/314,996,937.30 = 209,997,958.20/x
  3. Step 3: Cross multiply
    209,997,958.20x = 314,996,937.30 × 209,997,958.20
  4. Step 4: Simplify right side
    209,997,958.20x = 66,148,713,672,253,416
  5. Step 5: Solve for x
    x = 66,148,713,672,253,416/209,997,958.20
  6. Step 6: Final answer
    x = 314,996,937.30

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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.