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Finding the Fourth Proportional to 470,182.70, 649,017.68 and 279,194.73

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Solution

The fourth proportional to 470,182.70, 649,017.68 and 279,194.73 is: 385,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,182.70 : 649,017.68 = 279,194.73 : x
  2. Step 2: Convert to fraction form
    470,182.70/649,017.68 = 279,194.73/x
  3. Step 3: Cross multiply
    470,182.70x = 649,017.68 × 279,194.73
  4. Step 4: Simplify right side
    470,182.70x = 181,202,314,536.85
  5. Step 5: Solve for x
    x = 181,202,314,536.85/470,182.70
  6. Step 6: Final answer
    x = 385,387.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.