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Finding the Fourth Proportional to 542,212.89, 812,463.86 and 200,185.98

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Solution

The fourth proportional to 542,212.89, 812,463.86 and 200,185.98 is: 299,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,212.89 : 812,463.86 = 200,185.98 : x
  2. Step 2: Convert to fraction form
    542,212.89/812,463.86 = 200,185.98/x
  3. Step 3: Cross multiply
    542,212.89x = 812,463.86 × 200,185.98
  4. Step 4: Simplify right side
    542,212.89x = 162,643,874,028.68
  5. Step 5: Solve for x
    x = 162,643,874,028.68/542,212.89
  6. Step 6: Final answer
    x = 299,963.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.