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Finding the Fourth Proportional to 411,230,404.80, 617,853,376.80 and 309,193,732.80

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Solution

The fourth proportional to 411,230,404.80, 617,853,376.80 and 309,193,732.80 is: 464,548,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,230,404.80 : 617,853,376.80 = 309,193,732.80 : x
  2. Step 2: Convert to fraction form
    411,230,404.80/617,853,376.80 = 309,193,732.80/x
  3. Step 3: Cross multiply
    411,230,404.80x = 617,853,376.80 × 309,193,732.80
  4. Step 4: Simplify right side
    411,230,404.80x = 191,036,391,895,876,896
  5. Step 5: Solve for x
    x = 191,036,391,895,876,896/411,230,404.80
  6. Step 6: Final answer
    x = 464,548,315.65

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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.