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Finding the Fourth Proportional to 307,858.36, 461,311.24 and 207,625.72

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Solution

The fourth proportional to 307,858.36, 461,311.24 and 207,625.72 is: 311,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,858.36 : 461,311.24 = 207,625.72 : x
  2. Step 2: Convert to fraction form
    307,858.36/461,311.24 = 207,625.72/x
  3. Step 3: Cross multiply
    307,858.36x = 461,311.24 × 207,625.72
  4. Step 4: Simplify right side
    307,858.36x = 95,780,078,349.09
  5. Step 5: Solve for x
    x = 95,780,078,349.09/307,858.36
  6. Step 6: Final answer
    x = 311,117.35

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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.