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Finding the Fourth Proportional to 389,050.54, 536,893.83 and 219,284.66

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Solution

The fourth proportional to 389,050.54, 536,893.83 and 219,284.66 is: 302,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,050.54 : 536,893.83 = 219,284.66 : x
  2. Step 2: Convert to fraction form
    389,050.54/536,893.83 = 219,284.66/x
  3. Step 3: Cross multiply
    389,050.54x = 536,893.83 × 219,284.66
  4. Step 4: Simplify right side
    389,050.54x = 117,732,582,309.88
  5. Step 5: Solve for x
    x = 117,732,582,309.88/389,050.54
  6. Step 6: Final answer
    x = 302,615.14

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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.