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Finding the Fourth Proportional to 209,953,764.45, 314,930,646.68 and 133,048,346.85

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Solution

The fourth proportional to 209,953,764.45, 314,930,646.68 and 133,048,346.85 is: 199,572,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,764.45 : 314,930,646.68 = 133,048,346.85 : x
  2. Step 2: Convert to fraction form
    209,953,764.45/314,930,646.68 = 133,048,346.85/x
  3. Step 3: Cross multiply
    209,953,764.45x = 314,930,646.68 × 133,048,346.85
  4. Step 4: Simplify right side
    209,953,764.45x = 41,901,001,912,510,200
  5. Step 5: Solve for x
    x = 41,901,001,912,510,200/209,953,764.45
  6. Step 6: Final answer
    x = 199,572,520.28

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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.