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Finding the Fourth Proportional to 307,371.84, 461,005.92 and 85,704

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Solution

The fourth proportional to 307,371.84, 461,005.92 and 85,704 is: 128,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,371.84 : 461,005.92 = 85,704 : x
  2. Step 2: Convert to fraction form
    307,371.84/461,005.92 = 85,704/x
  3. Step 3: Cross multiply
    307,371.84x = 461,005.92 × 85,704
  4. Step 4: Simplify right side
    307,371.84x = 39,510,051,367.68
  5. Step 5: Solve for x
    x = 39,510,051,367.68/307,371.84
  6. Step 6: Final answer
    x = 128,541.55

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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.