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Finding the Fourth Proportional to 399,141, 550,815.30 and 220,293

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Solution

The fourth proportional to 399,141, 550,815.30 and 220,293 is: 304,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,141 : 550,815.30 = 220,293 : x
  2. Step 2: Convert to fraction form
    399,141/550,815.30 = 220,293/x
  3. Step 3: Cross multiply
    399,141x = 550,815.30 × 220,293
  4. Step 4: Simplify right side
    399,141x = 121,340,754,882.90
  5. Step 5: Solve for x
    x = 121,340,754,882.90/399,141
  6. Step 6: Final answer
    x = 304,004.74

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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.