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Finding the Fourth Proportional to 470,438.20, 705,365.70 and 270,659.80

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Solution

The fourth proportional to 470,438.20, 705,365.70 and 270,659.80 is: 405,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,438.20 : 705,365.70 = 270,659.80 : x
  2. Step 2: Convert to fraction form
    470,438.20/705,365.70 = 270,659.80/x
  3. Step 3: Cross multiply
    470,438.20x = 705,365.70 × 270,659.80
  4. Step 4: Simplify right side
    470,438.20x = 190,914,139,288.86
  5. Step 5: Solve for x
    x = 190,914,139,288.86/470,438.20
  6. Step 6: Final answer
    x = 405,821.93

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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.