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Finding the Fourth Proportional to 209,953,766.45, 314,930,649.68 and 133,048,348.85

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Solution

The fourth proportional to 209,953,766.45, 314,930,649.68 and 133,048,348.85 is: 199,572,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,766.45 : 314,930,649.68 = 133,048,348.85 : x
  2. Step 2: Convert to fraction form
    209,953,766.45/314,930,649.68 = 133,048,348.85/x
  3. Step 3: Cross multiply
    209,953,766.45x = 314,930,649.68 × 133,048,348.85
  4. Step 4: Simplify right side
    209,953,766.45x = 41,901,002,942,181,776
  5. Step 5: Solve for x
    x = 41,901,002,942,181,776/209,953,766.45
  6. Step 6: Final answer
    x = 199,572,523.28

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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.