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Finding the Fourth Proportional to 400,834.36, 601,251.60 and 101,315.80

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Solution

The fourth proportional to 400,834.36, 601,251.60 and 101,315.80 is: 151,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,834.36 : 601,251.60 = 101,315.80 : x
  2. Step 2: Convert to fraction form
    400,834.36/601,251.60 = 101,315.80/x
  3. Step 3: Cross multiply
    400,834.36x = 601,251.60 × 101,315.80
  4. Step 4: Simplify right side
    400,834.36x = 60,916,286,855.28
  5. Step 5: Solve for x
    x = 60,916,286,855.28/400,834.36
  6. Step 6: Final answer
    x = 151,973.72

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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.