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Finding the Fourth Proportional to 1,331,826,305.12, 1,997,930,874.84 and 411,774,388.28

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Solution

The fourth proportional to 1,331,826,305.12, 1,997,930,874.84 and 411,774,388.28 is: 617,720,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331,826,305.12 : 1,997,930,874.84 = 411,774,388.28 : x
  2. Step 2: Convert to fraction form
    1,331,826,305.12/1,997,930,874.84 = 411,774,388.28/x
  3. Step 3: Cross multiply
    1,331,826,305.12x = 1,997,930,874.84 × 411,774,388.28
  4. Step 4: Simplify right side
    1,331,826,305.12x = 822,696,763,812,966,144
  5. Step 5: Solve for x
    x = 822,696,763,812,966,144/1,331,826,305.12
  6. Step 6: Final answer
    x = 617,720,764.83

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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.