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Finding the Fourth Proportional to 318,031.86, 438,701.22 and 198,592.50

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Solution

The fourth proportional to 318,031.86, 438,701.22 and 198,592.50 is: 273,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,031.86 : 438,701.22 = 198,592.50 : x
  2. Step 2: Convert to fraction form
    318,031.86/438,701.22 = 198,592.50/x
  3. Step 3: Cross multiply
    318,031.86x = 438,701.22 × 198,592.50
  4. Step 4: Simplify right side
    318,031.86x = 87,122,772,032.85
  5. Step 5: Solve for x
    x = 87,122,772,032.85/318,031.86
  6. Step 6: Final answer
    x = 273,943.54

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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.