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Finding the Fourth Proportional to 470,808.30, 706,212.45 and 419,198.70

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Solution

The fourth proportional to 470,808.30, 706,212.45 and 419,198.70 is: 628,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,808.30 : 706,212.45 = 419,198.70 : x
  2. Step 2: Convert to fraction form
    470,808.30/706,212.45 = 419,198.70/x
  3. Step 3: Cross multiply
    470,808.30x = 706,212.45 × 419,198.70
  4. Step 4: Simplify right side
    470,808.30x = 296,043,340,963.82
  5. Step 5: Solve for x
    x = 296,043,340,963.82/470,808.30
  6. Step 6: Final answer
    x = 628,798.05

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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.