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Finding the Fourth Proportional to 389,105.88, 536,967 and 219,340.01

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Solution

The fourth proportional to 389,105.88, 536,967 and 219,340.01 is: 302,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,105.88 : 536,967 = 219,340.01 : x
  2. Step 2: Convert to fraction form
    389,105.88/536,967 = 219,340.01/x
  3. Step 3: Cross multiply
    389,105.88x = 536,967 × 219,340.01
  4. Step 4: Simplify right side
    389,105.88x = 117,778,344,464.84
  5. Step 5: Solve for x
    x = 117,778,344,464.84/389,105.88
  6. Step 6: Final answer
    x = 302,689.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.