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Finding the Fourth Proportional to 542,211.89, 812,462.36 and 200,184.98

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Solution

The fourth proportional to 542,211.89, 812,462.36 and 200,184.98 is: 299,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,211.89 : 812,462.36 = 200,184.98 : x
  2. Step 2: Convert to fraction form
    542,211.89/812,462.36 = 200,184.98/x
  3. Step 3: Cross multiply
    542,211.89x = 812,462.36 × 200,184.98
  4. Step 4: Simplify right side
    542,211.89x = 162,642,763,818.97
  5. Step 5: Solve for x
    x = 162,642,763,818.97/542,211.89
  6. Step 6: Final answer
    x = 299,961.64

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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.