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Finding the Fourth Proportional to 399,015.79, 550,643.33 and 217,731.44

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Solution

The fourth proportional to 399,015.79, 550,643.33 and 217,731.44 is: 300,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,015.79 : 550,643.33 = 217,731.44 : x
  2. Step 2: Convert to fraction form
    399,015.79/550,643.33 = 217,731.44/x
  3. Step 3: Cross multiply
    399,015.79x = 550,643.33 × 217,731.44
  4. Step 4: Simplify right side
    399,015.79x = 119,892,367,088.23
  5. Step 5: Solve for x
    x = 119,892,367,088.23/399,015.79
  6. Step 6: Final answer
    x = 300,470.23

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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.