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Finding the Fourth Proportional to 401,138.70, 601,708.05 and 322,406.70

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Solution

The fourth proportional to 401,138.70, 601,708.05 and 322,406.70 is: 483,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,138.70 : 601,708.05 = 322,406.70 : x
  2. Step 2: Convert to fraction form
    401,138.70/601,708.05 = 322,406.70/x
  3. Step 3: Cross multiply
    401,138.70x = 601,708.05 × 322,406.70
  4. Step 4: Simplify right side
    401,138.70x = 193,994,706,763.94
  5. Step 5: Solve for x
    x = 193,994,706,763.94/401,138.70
  6. Step 6: Final answer
    x = 483,610.05

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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.