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Finding the Fourth Proportional to 399,144.93, 550,820.16 and 217,853.52

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Solution

The fourth proportional to 399,144.93, 550,820.16 and 217,853.52 is: 300,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,144.93 : 550,820.16 = 217,853.52 : x
  2. Step 2: Convert to fraction form
    399,144.93/550,820.16 = 217,853.52/x
  3. Step 3: Cross multiply
    399,144.93x = 550,820.16 × 217,853.52
  4. Step 4: Simplify right side
    399,144.93x = 119,998,110,742.96
  5. Step 5: Solve for x
    x = 119,998,110,742.96/399,144.93
  6. Step 6: Final answer
    x = 300,637.94

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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.