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Finding the Fourth Proportional to 5,206,738.82, 7,809,874.95 and 1,420,209.14

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Solution

The fourth proportional to 5,206,738.82, 7,809,874.95 and 1,420,209.14 is: 2,130,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,738.82 : 7,809,874.95 = 1,420,209.14 : x
  2. Step 2: Convert to fraction form
    5,206,738.82/7,809,874.95 = 1,420,209.14/x
  3. Step 3: Cross multiply
    5,206,738.82x = 7,809,874.95 × 1,420,209.14
  4. Step 4: Simplify right side
    5,206,738.82x = 11,091,655,786,247.04
  5. Step 5: Solve for x
    x = 11,091,655,786,247.04/5,206,738.82
  6. Step 6: Final answer
    x = 2,130,250.08

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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.