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Finding the Fourth Proportional to 209,939,249.80, 314,908,874.70 and 133,317,267.40

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Solution

The fourth proportional to 209,939,249.80, 314,908,874.70 and 133,317,267.40 is: 199,975,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,939,249.80 : 314,908,874.70 = 133,317,267.40 : x
  2. Step 2: Convert to fraction form
    209,939,249.80/314,908,874.70 = 133,317,267.40/x
  3. Step 3: Cross multiply
    209,939,249.80x = 314,908,874.70 × 133,317,267.40
  4. Step 4: Simplify right side
    209,939,249.80x = 41,982,790,655,012,992
  5. Step 5: Solve for x
    x = 41,982,790,655,012,992/209,939,249.80
  6. Step 6: Final answer
    x = 199,975,901.10

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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.