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Finding the Fourth Proportional to 470,917.20, 706,375.80 and 138,493.20

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Solution

The fourth proportional to 470,917.20, 706,375.80 and 138,493.20 is: 207,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,917.20 : 706,375.80 = 138,493.20 : x
  2. Step 2: Convert to fraction form
    470,917.20/706,375.80 = 138,493.20/x
  3. Step 3: Cross multiply
    470,917.20x = 706,375.80 × 138,493.20
  4. Step 4: Simplify right side
    470,917.20x = 97,828,244,944.56
  5. Step 5: Solve for x
    x = 97,828,244,944.56/470,917.20
  6. Step 6: Final answer
    x = 207,739.80

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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.