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Finding the Fourth Proportional to 321,234.86, 443,292.15 and 185,274.50

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Solution

The fourth proportional to 321,234.86, 443,292.15 and 185,274.50 is: 255,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,234.86 : 443,292.15 = 185,274.50 : x
  2. Step 2: Convert to fraction form
    321,234.86/443,292.15 = 185,274.50/x
  3. Step 3: Cross multiply
    321,234.86x = 443,292.15 × 185,274.50
  4. Step 4: Simplify right side
    321,234.86x = 82,130,731,445.18
  5. Step 5: Solve for x
    x = 82,130,731,445.18/321,234.86
  6. Step 6: Final answer
    x = 255,671.91

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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.