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Finding the Fourth Proportional to 400,571.70, 601,246.35 and 201,117.30

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Solution

The fourth proportional to 400,571.70, 601,246.35 and 201,117.30 is: 301,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,571.70 : 601,246.35 = 201,117.30 : x
  2. Step 2: Convert to fraction form
    400,571.70/601,246.35 = 201,117.30/x
  3. Step 3: Cross multiply
    400,571.70x = 601,246.35 × 201,117.30
  4. Step 4: Simplify right side
    400,571.70x = 120,921,042,546.86
  5. Step 5: Solve for x
    x = 120,921,042,546.86/400,571.70
  6. Step 6: Final answer
    x = 301,871.16

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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.