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Finding the Fourth Proportional to 307,370.88, 461,124.36 and 120,384

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Solution

The fourth proportional to 307,370.88, 461,124.36 and 120,384 is: 180,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,370.88 : 461,124.36 = 120,384 : x
  2. Step 2: Convert to fraction form
    307,370.88/461,124.36 = 120,384/x
  3. Step 3: Cross multiply
    307,370.88x = 461,124.36 × 120,384
  4. Step 4: Simplify right side
    307,370.88x = 55,511,994,954.24
  5. Step 5: Solve for x
    x = 55,511,994,954.24/307,370.88
  6. Step 6: Final answer
    x = 180,602.65

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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.